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Finding the Fourth Proportional to 77,782.92, 116,685.72 and 38,342.40

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Solution

The fourth proportional to 77,782.92, 116,685.72 and 38,342.40 is: 57,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,782.92 : 116,685.72 = 38,342.40 : x
  2. Step 2: Convert to fraction form
    77,782.92/116,685.72 = 38,342.40/x
  3. Step 3: Cross multiply
    77,782.92x = 116,685.72 × 38,342.40
  4. Step 4: Simplify right side
    77,782.92x = 4,474,010,550.53
  5. Step 5: Solve for x
    x = 4,474,010,550.53/77,782.92
  6. Step 6: Final answer
    x = 57,519.19

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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.