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Finding the Fourth Proportional to 77,293, 106,666.50 and 43,761.16

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Solution

The fourth proportional to 77,293, 106,666.50 and 43,761.16 is: 60,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,293 : 106,666.50 = 43,761.16 : x
  2. Step 2: Convert to fraction form
    77,293/106,666.50 = 43,761.16/x
  3. Step 3: Cross multiply
    77,293x = 106,666.50 × 43,761.16
  4. Step 4: Simplify right side
    77,293x = 4,667,849,773.14
  5. Step 5: Solve for x
    x = 4,667,849,773.14/77,293
  6. Step 6: Final answer
    x = 60,391.62

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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.