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Finding the Fourth Proportional to 159,897.90, 220,659.75 and 87,301.02

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Solution

The fourth proportional to 159,897.90, 220,659.75 and 87,301.02 is: 120,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897.90 : 220,659.75 = 87,301.02 : x
  2. Step 2: Convert to fraction form
    159,897.90/220,659.75 = 87,301.02/x
  3. Step 3: Cross multiply
    159,897.90x = 220,659.75 × 87,301.02
  4. Step 4: Simplify right side
    159,897.90x = 19,263,821,247.95
  5. Step 5: Solve for x
    x = 19,263,821,247.95/159,897.90
  6. Step 6: Final answer
    x = 120,475.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.