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Finding the Fourth Proportional to 78,223.01, 107,947.64 and 42,412.96

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Solution

The fourth proportional to 78,223.01, 107,947.64 and 42,412.96 is: 58,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,223.01 : 107,947.64 = 42,412.96 : x
  2. Step 2: Convert to fraction form
    78,223.01/107,947.64 = 42,412.96/x
  3. Step 3: Cross multiply
    78,223.01x = 107,947.64 × 42,412.96
  4. Step 4: Simplify right side
    78,223.01x = 4,578,378,397.68
  5. Step 5: Solve for x
    x = 4,578,378,397.68/78,223.01
  6. Step 6: Final answer
    x = 58,529.82

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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.