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Finding the Fourth Proportional to 77,712.79, 116,569.20 and 21,567.05

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Solution

The fourth proportional to 77,712.79, 116,569.20 and 21,567.05 is: 32,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.79 : 116,569.20 = 21,567.05 : x
  2. Step 2: Convert to fraction form
    77,712.79/116,569.20 = 21,567.05/x
  3. Step 3: Cross multiply
    77,712.79x = 116,569.20 × 21,567.05
  4. Step 4: Simplify right side
    77,712.79x = 2,514,053,764.86
  5. Step 5: Solve for x
    x = 2,514,053,764.86/77,712.79
  6. Step 6: Final answer
    x = 32,350.58

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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.