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Finding the Fourth Proportional to 77,123.60, 115,685.40 and 24,538.40

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Solution

The fourth proportional to 77,123.60, 115,685.40 and 24,538.40 is: 36,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,123.60 : 115,685.40 = 24,538.40 : x
  2. Step 2: Convert to fraction form
    77,123.60/115,685.40 = 24,538.40/x
  3. Step 3: Cross multiply
    77,123.60x = 115,685.40 × 24,538.40
  4. Step 4: Simplify right side
    77,123.60x = 2,838,734,619.36
  5. Step 5: Solve for x
    x = 2,838,734,619.36/77,123.60
  6. Step 6: Final answer
    x = 36,807.60

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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.