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Finding the Fourth Proportional to 261,397.29, 392,058.87 and 83,881.35

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Solution

The fourth proportional to 261,397.29, 392,058.87 and 83,881.35 is: 125,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,397.29 : 392,058.87 = 83,881.35 : x
  2. Step 2: Convert to fraction form
    261,397.29/392,058.87 = 83,881.35/x
  3. Step 3: Cross multiply
    261,397.29x = 392,058.87 × 83,881.35
  4. Step 4: Simplify right side
    261,397.29x = 32,886,427,295.07
  5. Step 5: Solve for x
    x = 32,886,427,295.07/261,397.29
  6. Step 6: Final answer
    x = 125,810.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.