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Finding the Fourth Proportional to 78,342.52, 108,077.54 and 52,840.60

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Solution

The fourth proportional to 78,342.52, 108,077.54 and 52,840.60 is: 72,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.52 : 108,077.54 = 52,840.60 : x
  2. Step 2: Convert to fraction form
    78,342.52/108,077.54 = 52,840.60/x
  3. Step 3: Cross multiply
    78,342.52x = 108,077.54 × 52,840.60
  4. Step 4: Simplify right side
    78,342.52x = 5,710,882,060.12
  5. Step 5: Solve for x
    x = 5,710,882,060.12/78,342.52
  6. Step 6: Final answer
    x = 72,896.33

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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.