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Finding the Fourth Proportional to 92,411.09, 137,948.13 and 81,201.05

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Solution

The fourth proportional to 92,411.09, 137,948.13 and 81,201.05 is: 121,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,411.09 : 137,948.13 = 81,201.05 : x
  2. Step 2: Convert to fraction form
    92,411.09/137,948.13 = 81,201.05/x
  3. Step 3: Cross multiply
    92,411.09x = 137,948.13 × 81,201.05
  4. Step 4: Simplify right side
    92,411.09x = 11,201,533,001.54
  5. Step 5: Solve for x
    x = 11,201,533,001.54/92,411.09
  6. Step 6: Final answer
    x = 121,214.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.