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Finding the Fourth Proportional to 72,905.40, 109,487.70 and 53,206.20

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Solution

The fourth proportional to 72,905.40, 109,487.70 and 53,206.20 is: 79,903.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,905.40 : 109,487.70 = 53,206.20 : x
  2. Step 2: Convert to fraction form
    72,905.40/109,487.70 = 53,206.20/x
  3. Step 3: Cross multiply
    72,905.40x = 109,487.70 × 53,206.20
  4. Step 4: Simplify right side
    72,905.40x = 5,825,424,463.74
  5. Step 5: Solve for x
    x = 5,825,424,463.74/72,905.40
  6. Step 6: Final answer
    x = 79,903.88

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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.