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Finding the Fourth Proportional to 164,751.85, 247,127.78 and 142,499.13

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Solution

The fourth proportional to 164,751.85, 247,127.78 and 142,499.13 is: 213,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,751.85 : 247,127.78 = 142,499.13 : x
  2. Step 2: Convert to fraction form
    164,751.85/247,127.78 = 142,499.13/x
  3. Step 3: Cross multiply
    164,751.85x = 247,127.78 × 142,499.13
  4. Step 4: Simplify right side
    164,751.85x = 35,215,493,648.83
  5. Step 5: Solve for x
    x = 35,215,493,648.83/164,751.85
  6. Step 6: Final answer
    x = 213,748.70

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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.