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Finding the Fourth Proportional to 76,931.60, 115,429.80 and 37,468.40

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Solution

The fourth proportional to 76,931.60, 115,429.80 and 37,468.40 is: 56,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,931.60 : 115,429.80 = 37,468.40 : x
  2. Step 2: Convert to fraction form
    76,931.60/115,429.80 = 37,468.40/x
  3. Step 3: Cross multiply
    76,931.60x = 115,429.80 × 37,468.40
  4. Step 4: Simplify right side
    76,931.60x = 4,324,969,918.32
  5. Step 5: Solve for x
    x = 4,324,969,918.32/76,931.60
  6. Step 6: Final answer
    x = 56,218.38

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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.