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Finding the Fourth Proportional to 144,103.60, 216,283.40 and 84,865.20

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Solution

The fourth proportional to 144,103.60, 216,283.40 and 84,865.20 is: 127,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,103.60 : 216,283.40 = 84,865.20 : x
  2. Step 2: Convert to fraction form
    144,103.60/216,283.40 = 84,865.20/x
  3. Step 3: Cross multiply
    144,103.60x = 216,283.40 × 84,865.20
  4. Step 4: Simplify right side
    144,103.60x = 18,354,933,997.68
  5. Step 5: Solve for x
    x = 18,354,933,997.68/144,103.60
  6. Step 6: Final answer
    x = 127,373.18

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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.