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Finding the Fourth Proportional to 142,352.80, 213,248.40 and 72,282.40

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Solution

The fourth proportional to 142,352.80, 213,248.40 and 72,282.40 is: 108,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,352.80 : 213,248.40 = 72,282.40 : x
  2. Step 2: Convert to fraction form
    142,352.80/213,248.40 = 72,282.40/x
  3. Step 3: Cross multiply
    142,352.80x = 213,248.40 × 72,282.40
  4. Step 4: Simplify right side
    142,352.80x = 15,414,106,148.16
  5. Step 5: Solve for x
    x = 15,414,106,148.16/142,352.80
  6. Step 6: Final answer
    x = 108,281.02

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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.