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Finding the Fourth Proportional to 78,123.47, 107,811.41 and 43,666.70

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Solution

The fourth proportional to 78,123.47, 107,811.41 and 43,666.70 is: 60,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123.47 : 107,811.41 = 43,666.70 : x
  2. Step 2: Convert to fraction form
    78,123.47/107,811.41 = 43,666.70/x
  3. Step 3: Cross multiply
    78,123.47x = 107,811.41 × 43,666.70
  4. Step 4: Simplify right side
    78,123.47x = 4,707,767,739.66
  5. Step 5: Solve for x
    x = 4,707,767,739.66/78,123.47
  6. Step 6: Final answer
    x = 60,260.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.