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Finding the Fourth Proportional to 162,574.88, 223,854.78 and 142,318.40

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Solution

The fourth proportional to 162,574.88, 223,854.78 and 142,318.40 is: 195,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,574.88 : 223,854.78 = 142,318.40 : x
  2. Step 2: Convert to fraction form
    162,574.88/223,854.78 = 142,318.40/x
  3. Step 3: Cross multiply
    162,574.88x = 223,854.78 × 142,318.40
  4. Step 4: Simplify right side
    162,574.88x = 31,858,654,121.95
  5. Step 5: Solve for x
    x = 31,858,654,121.95/162,574.88
  6. Step 6: Final answer
    x = 195,962.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.