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Finding the Fourth Proportional to 149,646, 224,468.70 and 87,272.76

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Solution

The fourth proportional to 149,646, 224,468.70 and 87,272.76 is: 130,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,646 : 224,468.70 = 87,272.76 : x
  2. Step 2: Convert to fraction form
    149,646/224,468.70 = 87,272.76/x
  3. Step 3: Cross multiply
    149,646x = 224,468.70 × 87,272.76
  4. Step 4: Simplify right side
    149,646x = 19,590,002,982.61
  5. Step 5: Solve for x
    x = 19,590,002,982.61/149,646
  6. Step 6: Final answer
    x = 130,908.97

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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.