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Finding the Fourth Proportional to 77,056.80, 115,585.20 and 53,437.20

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Solution

The fourth proportional to 77,056.80, 115,585.20 and 53,437.20 is: 80,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,056.80 : 115,585.20 = 53,437.20 : x
  2. Step 2: Convert to fraction form
    77,056.80/115,585.20 = 53,437.20/x
  3. Step 3: Cross multiply
    77,056.80x = 115,585.20 × 53,437.20
  4. Step 4: Simplify right side
    77,056.80x = 6,176,549,449.44
  5. Step 5: Solve for x
    x = 6,176,549,449.44/77,056.80
  6. Step 6: Final answer
    x = 80,155.80

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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.