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Finding the Fourth Proportional to 105,220.80, 157,658.40 and 87,595.20

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Solution

The fourth proportional to 105,220.80, 157,658.40 and 87,595.20 is: 131,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,220.80 : 157,658.40 = 87,595.20 : x
  2. Step 2: Convert to fraction form
    105,220.80/157,658.40 = 87,595.20/x
  3. Step 3: Cross multiply
    105,220.80x = 157,658.40 × 87,595.20
  4. Step 4: Simplify right side
    105,220.80x = 13,810,119,079.68
  5. Step 5: Solve for x
    x = 13,810,119,079.68/105,220.80
  6. Step 6: Final answer
    x = 131,248.95

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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.