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Finding the Fourth Proportional to 84,129.71, 116,111.57 and 53,949.11

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Solution

The fourth proportional to 84,129.71, 116,111.57 and 53,949.11 is: 74,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,129.71 : 116,111.57 = 53,949.11 : x
  2. Step 2: Convert to fraction form
    84,129.71/116,111.57 = 53,949.11/x
  3. Step 3: Cross multiply
    84,129.71x = 116,111.57 × 53,949.11
  4. Step 4: Simplify right side
    84,129.71x = 6,264,115,011.90
  5. Step 5: Solve for x
    x = 6,264,115,011.90/84,129.71
  6. Step 6: Final answer
    x = 74,457.83

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1.5x scale

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.