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Finding the Fourth Proportional to 65,106, 97,658.91 and 42,757.76

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Solution

The fourth proportional to 65,106, 97,658.91 and 42,757.76 is: 64,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106 : 97,658.91 = 42,757.76 : x
  2. Step 2: Convert to fraction form
    65,106/97,658.91 = 42,757.76/x
  3. Step 3: Cross multiply
    65,106x = 97,658.91 × 42,757.76
  4. Step 4: Simplify right side
    65,106x = 4,175,676,479.79
  5. Step 5: Solve for x
    x = 4,175,676,479.79/65,106
  6. Step 6: Final answer
    x = 64,136.58

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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.