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Finding the Fourth Proportional to 78,458.31, 108,557.55 and 68,407.74

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Solution

The fourth proportional to 78,458.31, 108,557.55 and 68,407.74 is: 94,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.31 : 108,557.55 = 68,407.74 : x
  2. Step 2: Convert to fraction form
    78,458.31/108,557.55 = 68,407.74/x
  3. Step 3: Cross multiply
    78,458.31x = 108,557.55 × 68,407.74
  4. Step 4: Simplify right side
    78,458.31x = 7,426,176,655.44
  5. Step 5: Solve for x
    x = 7,426,176,655.44/78,458.31
  6. Step 6: Final answer
    x = 94,651.24

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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.