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Finding the Fourth Proportional to 64,689.40, 97,034.10 and 38,380.60

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Solution

The fourth proportional to 64,689.40, 97,034.10 and 38,380.60 is: 57,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,689.40 : 97,034.10 = 38,380.60 : x
  2. Step 2: Convert to fraction form
    64,689.40/97,034.10 = 38,380.60/x
  3. Step 3: Cross multiply
    64,689.40x = 97,034.10 × 38,380.60
  4. Step 4: Simplify right side
    64,689.40x = 3,724,226,978.46
  5. Step 5: Solve for x
    x = 3,724,226,978.46/64,689.40
  6. Step 6: Final answer
    x = 57,570.90

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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.