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Finding the Fourth Proportional to 145,853.20, 218,342.40 and 137,202.40

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Solution

The fourth proportional to 145,853.20, 218,342.40 and 137,202.40 is: 205,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853.20 : 218,342.40 = 137,202.40 : x
  2. Step 2: Convert to fraction form
    145,853.20/218,342.40 = 137,202.40/x
  3. Step 3: Cross multiply
    145,853.20x = 218,342.40 × 137,202.40
  4. Step 4: Simplify right side
    145,853.20x = 29,957,101,301.76
  5. Step 5: Solve for x
    x = 29,957,101,301.76/145,853.20
  6. Step 6: Final answer
    x = 205,392.14

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1.5x scale

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.