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Finding the Fourth Proportional to 142,461.60, 213,400.80 and 72,380.40

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Solution

The fourth proportional to 142,461.60, 213,400.80 and 72,380.40 is: 108,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,461.60 : 213,400.80 = 72,380.40 : x
  2. Step 2: Convert to fraction form
    142,461.60/213,400.80 = 72,380.40/x
  3. Step 3: Cross multiply
    142,461.60x = 213,400.80 × 72,380.40
  4. Step 4: Simplify right side
    142,461.60x = 15,446,035,264.32
  5. Step 5: Solve for x
    x = 15,446,035,264.32/142,461.60
  6. Step 6: Final answer
    x = 108,422.45

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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.