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Finding the Fourth Proportional to 101,419.40, 152,129.10 and 34,853.60

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Solution

The fourth proportional to 101,419.40, 152,129.10 and 34,853.60 is: 52,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,419.40 : 152,129.10 = 34,853.60 : x
  2. Step 2: Convert to fraction form
    101,419.40/152,129.10 = 34,853.60/x
  3. Step 3: Cross multiply
    101,419.40x = 152,129.10 × 34,853.60
  4. Step 4: Simplify right side
    101,419.40x = 5,302,246,799.76
  5. Step 5: Solve for x
    x = 5,302,246,799.76/101,419.40
  6. Step 6: Final answer
    x = 52,280.40

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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.