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Finding the Fourth Proportional to 159,547.20, 239,234.40 and 65,947.20

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Solution

The fourth proportional to 159,547.20, 239,234.40 and 65,947.20 is: 98,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,547.20 : 239,234.40 = 65,947.20 : x
  2. Step 2: Convert to fraction form
    159,547.20/239,234.40 = 65,947.20/x
  3. Step 3: Cross multiply
    159,547.20x = 239,234.40 × 65,947.20
  4. Step 4: Simplify right side
    159,547.20x = 15,776,838,823.68
  5. Step 5: Solve for x
    x = 15,776,838,823.68/159,547.20
  6. Step 6: Final answer
    x = 98,885.09

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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.