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Finding the Fourth Proportional to 125,763.76, 188,587.32 and 73,188.28

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Solution

The fourth proportional to 125,763.76, 188,587.32 and 73,188.28 is: 109,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,763.76 : 188,587.32 = 73,188.28 : x
  2. Step 2: Convert to fraction form
    125,763.76/188,587.32 = 73,188.28/x
  3. Step 3: Cross multiply
    125,763.76x = 188,587.32 × 73,188.28
  4. Step 4: Simplify right side
    125,763.76x = 13,802,381,580.61
  5. Step 5: Solve for x
    x = 13,802,381,580.61/125,763.76
  6. Step 6: Final answer
    x = 109,748.48

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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.