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Finding the Fourth Proportional to 71,265.80, 106,935.59 and 51,705.81

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Solution

The fourth proportional to 71,265.80, 106,935.59 and 51,705.81 is: 77,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265.80 : 106,935.59 = 51,705.81 : x
  2. Step 2: Convert to fraction form
    71,265.80/106,935.59 = 51,705.81/x
  3. Step 3: Cross multiply
    71,265.80x = 106,935.59 × 51,705.81
  4. Step 4: Simplify right side
    71,265.80x = 5,529,191,428.04
  5. Step 5: Solve for x
    x = 5,529,191,428.04/71,265.80
  6. Step 6: Final answer
    x = 77,585.48

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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.