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Finding the Fourth Proportional to 142,176.98, 213,429.50 and 72,203.92

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Solution

The fourth proportional to 142,176.98, 213,429.50 and 72,203.92 is: 108,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,176.98 : 213,429.50 = 72,203.92 : x
  2. Step 2: Convert to fraction form
    142,176.98/213,429.50 = 72,203.92/x
  3. Step 3: Cross multiply
    142,176.98x = 213,429.50 × 72,203.92
  4. Step 4: Simplify right side
    142,176.98x = 15,410,446,543.64
  5. Step 5: Solve for x
    x = 15,410,446,543.64/142,176.98
  6. Step 6: Final answer
    x = 108,389.18

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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.