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Finding the Fourth Proportional to 149,817.60, 224,726.40 and 136,987.20

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Solution

The fourth proportional to 149,817.60, 224,726.40 and 136,987.20 is: 205,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,817.60 : 224,726.40 = 136,987.20 : x
  2. Step 2: Convert to fraction form
    149,817.60/224,726.40 = 136,987.20/x
  3. Step 3: Cross multiply
    149,817.60x = 224,726.40 × 136,987.20
  4. Step 4: Simplify right side
    149,817.60x = 30,784,640,302.08
  5. Step 5: Solve for x
    x = 30,784,640,302.08/149,817.60
  6. Step 6: Final answer
    x = 205,480.80

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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.