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Finding the Fourth Proportional to 159,808.20, 239,712.30 and 48,985.80

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Solution

The fourth proportional to 159,808.20, 239,712.30 and 48,985.80 is: 73,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,808.20 : 239,712.30 = 48,985.80 : x
  2. Step 2: Convert to fraction form
    159,808.20/239,712.30 = 48,985.80/x
  3. Step 3: Cross multiply
    159,808.20x = 239,712.30 × 48,985.80
  4. Step 4: Simplify right side
    159,808.20x = 11,742,498,785.34
  5. Step 5: Solve for x
    x = 11,742,498,785.34/159,808.20
  6. Step 6: Final answer
    x = 73,478.70

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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.