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Finding the Fourth Proportional to 72,905.60, 109,358.40 and 65,763.20

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Solution

The fourth proportional to 72,905.60, 109,358.40 and 65,763.20 is: 98,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,905.60 : 109,358.40 = 65,763.20 : x
  2. Step 2: Convert to fraction form
    72,905.60/109,358.40 = 65,763.20/x
  3. Step 3: Cross multiply
    72,905.60x = 109,358.40 × 65,763.20
  4. Step 4: Simplify right side
    72,905.60x = 7,191,758,330.88
  5. Step 5: Solve for x
    x = 7,191,758,330.88/72,905.60
  6. Step 6: Final answer
    x = 98,644.80

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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.