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Finding the Fourth Proportional to 77,398.73, 106,800.72 and 45,561.47

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Solution

The fourth proportional to 77,398.73, 106,800.72 and 45,561.47 is: 62,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,398.73 : 106,800.72 = 45,561.47 : x
  2. Step 2: Convert to fraction form
    77,398.73/106,800.72 = 45,561.47/x
  3. Step 3: Cross multiply
    77,398.73x = 106,800.72 × 45,561.47
  4. Step 4: Simplify right side
    77,398.73x = 4,865,997,266.25
  5. Step 5: Solve for x
    x = 4,865,997,266.25/77,398.73
  6. Step 6: Final answer
    x = 62,869.22

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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.