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Finding the Fourth Proportional to 100,830.61, 151,294.86 and 63,408.30

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Solution

The fourth proportional to 100,830.61, 151,294.86 and 63,408.30 is: 95,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,830.61 : 151,294.86 = 63,408.30 : x
  2. Step 2: Convert to fraction form
    100,830.61/151,294.86 = 63,408.30/x
  3. Step 3: Cross multiply
    100,830.61x = 151,294.86 × 63,408.30
  4. Step 4: Simplify right side
    100,830.61x = 9,593,349,871.34
  5. Step 5: Solve for x
    x = 9,593,349,871.34/100,830.61
  6. Step 6: Final answer
    x = 95,143.23

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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.