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Finding the Fourth Proportional to 102,800.40, 153,961.08 and 99,962.76

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Solution

The fourth proportional to 102,800.40, 153,961.08 and 99,962.76 is: 149,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800.40 : 153,961.08 = 99,962.76 : x
  2. Step 2: Convert to fraction form
    102,800.40/153,961.08 = 99,962.76/x
  3. Step 3: Cross multiply
    102,800.40x = 153,961.08 × 99,962.76
  4. Step 4: Simplify right side
    102,800.40x = 15,390,373,989.57
  5. Step 5: Solve for x
    x = 15,390,373,989.57/102,800.40
  6. Step 6: Final answer
    x = 149,711.23

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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.