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Finding the Fourth Proportional to 142,751.20, 213,867.60 and 87,282.40

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Solution

The fourth proportional to 142,751.20, 213,867.60 and 87,282.40 is: 130,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,751.20 : 213,867.60 = 87,282.40 : x
  2. Step 2: Convert to fraction form
    142,751.20/213,867.60 = 87,282.40/x
  3. Step 3: Cross multiply
    142,751.20x = 213,867.60 × 87,282.40
  4. Step 4: Simplify right side
    142,751.20x = 18,666,877,410.24
  5. Step 5: Solve for x
    x = 18,666,877,410.24/142,751.20
  6. Step 6: Final answer
    x = 130,765.12

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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.