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Finding the Fourth Proportional to 169,845.60, 254,476.80 and 140,102.40

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Solution

The fourth proportional to 169,845.60, 254,476.80 and 140,102.40 is: 209,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,845.60 : 254,476.80 = 140,102.40 : x
  2. Step 2: Convert to fraction form
    169,845.60/254,476.80 = 140,102.40/x
  3. Step 3: Cross multiply
    169,845.60x = 254,476.80 × 140,102.40
  4. Step 4: Simplify right side
    169,845.60x = 35,652,810,424.32
  5. Step 5: Solve for x
    x = 35,652,810,424.32/169,845.60
  6. Step 6: Final answer
    x = 209,913.06

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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.