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Finding the Fourth Proportional to 104,400.65, 156,600.98 and 77,828.60

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Solution

The fourth proportional to 104,400.65, 156,600.98 and 77,828.60 is: 116,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,400.65 : 156,600.98 = 77,828.60 : x
  2. Step 2: Convert to fraction form
    104,400.65/156,600.98 = 77,828.60/x
  3. Step 3: Cross multiply
    104,400.65x = 156,600.98 × 77,828.60
  4. Step 4: Simplify right side
    104,400.65x = 12,188,034,642.89
  5. Step 5: Solve for x
    x = 12,188,034,642.89/104,400.65
  6. Step 6: Final answer
    x = 116,742.90

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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.