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Finding the Fourth Proportional to 142,238.76, 213,358.14 and 97,730.58

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Solution

The fourth proportional to 142,238.76, 213,358.14 and 97,730.58 is: 146,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,238.76 : 213,358.14 = 97,730.58 : x
  2. Step 2: Convert to fraction form
    142,238.76/213,358.14 = 97,730.58/x
  3. Step 3: Cross multiply
    142,238.76x = 213,358.14 × 97,730.58
  4. Step 4: Simplify right side
    142,238.76x = 20,851,614,769.92
  5. Step 5: Solve for x
    x = 20,851,614,769.92/142,238.76
  6. Step 6: Final answer
    x = 146,595.87

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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.