Finding the Fourth Proportional to 219,032,872,091.64, 302,267,138,238.36 and 121,376,144,271.38
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Solution
The fourth proportional to 219,032,872,091.64, 302,267,138,238.36 and 121,376,144,271.38 is: 167,500,062,565.80
Step by Step Solution
- Step 1: Write the proportion equation
219,032,872,091.64 : 302,267,138,238.36 = 121,376,144,271.38 : x - Step 2: Convert to fraction form
219,032,872,091.64/302,267,138,238.36 = 121,376,144,271.38/x - Step 3: Cross multiply
219,032,872,091.64x = 302,267,138,238.36 × 121,376,144,271.38 - Step 4: Simplify right side
219,032,872,091.64x = 36,688,019,779,316,346,781,696 - Step 5: Solve for x
x = 36,688,019,779,316,346,781,696/219,032,872,091.64 - Step 6: Final answer
x = 167,500,062,565.80
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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.