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Finding the Fourth Proportional to 125,188.48, 187,656.36 and 78,474.16

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Solution

The fourth proportional to 125,188.48, 187,656.36 and 78,474.16 is: 117,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,188.48 : 187,656.36 = 78,474.16 : x
  2. Step 2: Convert to fraction form
    125,188.48/187,656.36 = 78,474.16/x
  3. Step 3: Cross multiply
    125,188.48x = 187,656.36 × 78,474.16
  4. Step 4: Simplify right side
    125,188.48x = 14,726,175,219.66
  5. Step 5: Solve for x
    x = 14,726,175,219.66/125,188.48
  6. Step 6: Final answer
    x = 117,632.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.