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Finding the Fourth Proportional to 129,503.67, 178,723.32 and 78,521.28

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Solution

The fourth proportional to 129,503.67, 178,723.32 and 78,521.28 is: 108,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,503.67 : 178,723.32 = 78,521.28 : x
  2. Step 2: Convert to fraction form
    129,503.67/178,723.32 = 78,521.28/x
  3. Step 3: Cross multiply
    129,503.67x = 178,723.32 × 78,521.28
  4. Step 4: Simplify right side
    129,503.67x = 14,033,583,852.25
  5. Step 5: Solve for x
    x = 14,033,583,852.25/129,503.67
  6. Step 6: Final answer
    x = 108,364.37

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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.