Finding the Fourth Proportional to 212,671,428,480.24, 293,487,455,536.95 and 115,013,069,416.95
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Solution
The fourth proportional to 212,671,428,480.24, 293,487,455,536.95 and 115,013,069,416.95 is: 158,718,513,990.76
Step by Step Solution
- Step 1: Write the proportion equation
212,671,428,480.24 : 293,487,455,536.95 = 115,013,069,416.95 : x - Step 2: Convert to fraction form
212,671,428,480.24/293,487,455,536.95 = 115,013,069,416.95/x - Step 3: Cross multiply
212,671,428,480.24x = 293,487,455,536.95 × 115,013,069,416.95 - Step 4: Simplify right side
212,671,428,480.24x = 33,754,893,096,675,258,138,624 - Step 5: Solve for x
x = 33,754,893,096,675,258,138,624/212,671,428,480.24 - Step 6: Final answer
x = 158,718,513,990.76
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.