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Finding the Fourth Proportional to 78,471.84, 108,292.31 and 42,661.77

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Solution

The fourth proportional to 78,471.84, 108,292.31 and 42,661.77 is: 58,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.84 : 108,292.31 = 42,661.77 : x
  2. Step 2: Convert to fraction form
    78,471.84/108,292.31 = 42,661.77/x
  3. Step 3: Cross multiply
    78,471.84x = 108,292.31 × 42,661.77
  4. Step 4: Simplify right side
    78,471.84x = 4,619,941,621.99
  5. Step 5: Solve for x
    x = 4,619,941,621.99/78,471.84
  6. Step 6: Final answer
    x = 58,873.88

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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.