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Finding the Fourth Proportional to 111,001.80, 166,502.70 and 77,176.20

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Solution

The fourth proportional to 111,001.80, 166,502.70 and 77,176.20 is: 115,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,001.80 : 166,502.70 = 77,176.20 : x
  2. Step 2: Convert to fraction form
    111,001.80/166,502.70 = 77,176.20/x
  3. Step 3: Cross multiply
    111,001.80x = 166,502.70 × 77,176.20
  4. Step 4: Simplify right side
    111,001.80x = 12,850,045,675.74
  5. Step 5: Solve for x
    x = 12,850,045,675.74/111,001.80
  6. Step 6: Final answer
    x = 115,764.30

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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.