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Finding the Fourth Proportional to 103,898.58, 155,847.87 and 83,253.30

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Solution

The fourth proportional to 103,898.58, 155,847.87 and 83,253.30 is: 124,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,898.58 : 155,847.87 = 83,253.30 : x
  2. Step 2: Convert to fraction form
    103,898.58/155,847.87 = 83,253.30/x
  3. Step 3: Cross multiply
    103,898.58x = 155,847.87 × 83,253.30
  4. Step 4: Simplify right side
    103,898.58x = 12,974,849,475.47
  5. Step 5: Solve for x
    x = 12,974,849,475.47/103,898.58
  6. Step 6: Final answer
    x = 124,879.95

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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.