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Finding the Fourth Proportional to 76,901.60, 115,288.40 and 32,562.40

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Solution

The fourth proportional to 76,901.60, 115,288.40 and 32,562.40 is: 48,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,901.60 : 115,288.40 = 32,562.40 : x
  2. Step 2: Convert to fraction form
    76,901.60/115,288.40 = 32,562.40/x
  3. Step 3: Cross multiply
    76,901.60x = 115,288.40 × 32,562.40
  4. Step 4: Simplify right side
    76,901.60x = 3,754,066,996.16
  5. Step 5: Solve for x
    x = 3,754,066,996.16/76,901.60
  6. Step 6: Final answer
    x = 48,816.50

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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.