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Finding the Fourth Proportional to 78,393.64, 108,179.14 and 42,583.61

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Solution

The fourth proportional to 78,393.64, 108,179.14 and 42,583.61 is: 58,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,393.64 : 108,179.14 = 42,583.61 : x
  2. Step 2: Convert to fraction form
    78,393.64/108,179.14 = 42,583.61/x
  3. Step 3: Cross multiply
    78,393.64x = 108,179.14 × 42,583.61
  4. Step 4: Simplify right side
    78,393.64x = 4,606,658,307.90
  5. Step 5: Solve for x
    x = 4,606,658,307.90/78,393.64
  6. Step 6: Final answer
    x = 58,763.16

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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.