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Finding the Fourth Proportional to 77,762, 116,660.28 and 28,514

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Solution

The fourth proportional to 77,762, 116,660.28 and 28,514 is: 42,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762 : 116,660.28 = 28,514 : x
  2. Step 2: Convert to fraction form
    77,762/116,660.28 = 28,514/x
  3. Step 3: Cross multiply
    77,762x = 116,660.28 × 28,514
  4. Step 4: Simplify right side
    77,762x = 3,326,451,223.92
  5. Step 5: Solve for x
    x = 3,326,451,223.92/77,762
  6. Step 6: Final answer
    x = 42,777.34

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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.