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Finding the Fourth Proportional to 159,681.76, 239,456.74 and 54,509.20

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Solution

The fourth proportional to 159,681.76, 239,456.74 and 54,509.20 is: 81,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,681.76 : 239,456.74 = 54,509.20 : x
  2. Step 2: Convert to fraction form
    159,681.76/239,456.74 = 54,509.20/x
  3. Step 3: Cross multiply
    159,681.76x = 239,456.74 × 54,509.20
  4. Step 4: Simplify right side
    159,681.76x = 13,052,595,332.01
  5. Step 5: Solve for x
    x = 13,052,595,332.01/159,681.76
  6. Step 6: Final answer
    x = 81,741.30

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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.