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Finding the Fourth Proportional to 159,899.58, 220,657.84 and 87,300

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Solution

The fourth proportional to 159,899.58, 220,657.84 and 87,300 is: 120,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,899.58 : 220,657.84 = 87,300 : x
  2. Step 2: Convert to fraction form
    159,899.58/220,657.84 = 87,300/x
  3. Step 3: Cross multiply
    159,899.58x = 220,657.84 × 87,300
  4. Step 4: Simplify right side
    159,899.58x = 19,263,429,432
  5. Step 5: Solve for x
    x = 19,263,429,432/159,899.58
  6. Step 6: Final answer
    x = 120,472.05

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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.