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Finding the Fourth Proportional to 64,909.80, 97,364.70 and 42,748.20

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Solution

The fourth proportional to 64,909.80, 97,364.70 and 42,748.20 is: 64,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,909.80 : 97,364.70 = 42,748.20 : x
  2. Step 2: Convert to fraction form
    64,909.80/97,364.70 = 42,748.20/x
  3. Step 3: Cross multiply
    64,909.80x = 97,364.70 × 42,748.20
  4. Step 4: Simplify right side
    64,909.80x = 4,162,165,668.54
  5. Step 5: Solve for x
    x = 4,162,165,668.54/64,909.80
  6. Step 6: Final answer
    x = 64,122.30

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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.