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Finding the Fourth Proportional to 76,663.56, 114,412.40 and 71,587.52

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Solution

The fourth proportional to 76,663.56, 114,412.40 and 71,587.52 is: 106,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,663.56 : 114,412.40 = 71,587.52 : x
  2. Step 2: Convert to fraction form
    76,663.56/114,412.40 = 71,587.52/x
  3. Step 3: Cross multiply
    76,663.56x = 114,412.40 × 71,587.52
  4. Step 4: Simplify right side
    76,663.56x = 8,190,499,043.25
  5. Step 5: Solve for x
    x = 8,190,499,043.25/76,663.56
  6. Step 6: Final answer
    x = 106,836.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.