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Finding the Fourth Proportional to 224,657.76, 310,054.40 and 129,168.48

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Solution

The fourth proportional to 224,657.76, 310,054.40 and 129,168.48 is: 178,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,657.76 : 310,054.40 = 129,168.48 : x
  2. Step 2: Convert to fraction form
    224,657.76/310,054.40 = 129,168.48/x
  3. Step 3: Cross multiply
    224,657.76x = 310,054.40 × 129,168.48
  4. Step 4: Simplify right side
    224,657.76x = 40,049,255,565.31
  5. Step 5: Solve for x
    x = 40,049,255,565.31/224,657.76
  6. Step 6: Final answer
    x = 178,267.85

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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.