Finding the Fourth Proportional to 176,232,178.79, 243,206,970.18 and 105,679,275.68
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Solution
The fourth proportional to 176,232,178.79, 243,206,970.18 and 105,679,275.68 is: 145,841,336.27
Step by Step Solution
- Step 1: Write the proportion equation
176,232,178.79 : 243,206,970.18 = 105,679,275.68 : x - Step 2: Convert to fraction form
176,232,178.79/243,206,970.18 = 105,679,275.68/x - Step 3: Cross multiply
176,232,178.79x = 243,206,970.18 × 105,679,275.68 - Step 4: Simplify right side
176,232,178.79x = 25,701,936,449,161,480 - Step 5: Solve for x
x = 25,701,936,449,161,480/176,232,178.79 - Step 6: Final answer
x = 145,841,336.27
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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.