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Finding the Fourth Proportional to 65,107, 97,660.41 and 42,758.76

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Solution

The fourth proportional to 65,107, 97,660.41 and 42,758.76 is: 64,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107 : 97,660.41 = 42,758.76 : x
  2. Step 2: Convert to fraction form
    65,107/97,660.41 = 42,758.76/x
  3. Step 3: Cross multiply
    65,107x = 97,660.41 × 42,758.76
  4. Step 4: Simplify right side
    65,107x = 4,175,838,032.69
  5. Step 5: Solve for x
    x = 4,175,838,032.69/65,107
  6. Step 6: Final answer
    x = 64,138.08

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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.