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Finding the Fourth Proportional to 101,862.02, 152,801.20 and 38,712.40

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Solution

The fourth proportional to 101,862.02, 152,801.20 and 38,712.40 is: 58,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,862.02 : 152,801.20 = 38,712.40 : x
  2. Step 2: Convert to fraction form
    101,862.02/152,801.20 = 38,712.40/x
  3. Step 3: Cross multiply
    101,862.02x = 152,801.20 × 38,712.40
  4. Step 4: Simplify right side
    101,862.02x = 5,915,301,174.88
  5. Step 5: Solve for x
    x = 5,915,301,174.88/101,862.02
  6. Step 6: Final answer
    x = 58,071.70

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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.