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Finding the Fourth Proportional to 77,806.70, 116,710.14 and 21,646.83

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Solution

The fourth proportional to 77,806.70, 116,710.14 and 21,646.83 is: 32,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,806.70 : 116,710.14 = 21,646.83 : x
  2. Step 2: Convert to fraction form
    77,806.70/116,710.14 = 21,646.83/x
  3. Step 3: Cross multiply
    77,806.70x = 116,710.14 × 21,646.83
  4. Step 4: Simplify right side
    77,806.70x = 2,526,404,559.86
  5. Step 5: Solve for x
    x = 2,526,404,559.86/77,806.70
  6. Step 6: Final answer
    x = 32,470.27

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1.5x scale

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.