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Finding the Fourth Proportional to 144,041.60, 216,062.40 and 135,286.40

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Solution

The fourth proportional to 144,041.60, 216,062.40 and 135,286.40 is: 202,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,041.60 : 216,062.40 = 135,286.40 : x
  2. Step 2: Convert to fraction form
    144,041.60/216,062.40 = 135,286.40/x
  3. Step 3: Cross multiply
    144,041.60x = 216,062.40 × 135,286.40
  4. Step 4: Simplify right side
    144,041.60x = 29,230,304,271.36
  5. Step 5: Solve for x
    x = 29,230,304,271.36/144,041.60
  6. Step 6: Final answer
    x = 202,929.60

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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.