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Finding the Fourth Proportional to 77,710.79, 116,566.20 and 21,565.05

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Solution

The fourth proportional to 77,710.79, 116,566.20 and 21,565.05 is: 32,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710.79 : 116,566.20 = 21,565.05 : x
  2. Step 2: Convert to fraction form
    77,710.79/116,566.20 = 21,565.05/x
  3. Step 3: Cross multiply
    77,710.79x = 116,566.20 × 21,565.05
  4. Step 4: Simplify right side
    77,710.79x = 2,513,755,931.31
  5. Step 5: Solve for x
    x = 2,513,755,931.31/77,710.79
  6. Step 6: Final answer
    x = 32,347.58

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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.