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Finding the Fourth Proportional to 129,630.24, 178,904.16 and 81,881.28

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Solution

The fourth proportional to 129,630.24, 178,904.16 and 81,881.28 is: 113,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,630.24 : 178,904.16 = 81,881.28 : x
  2. Step 2: Convert to fraction form
    129,630.24/178,904.16 = 81,881.28/x
  3. Step 3: Cross multiply
    129,630.24x = 178,904.16 × 81,881.28
  4. Step 4: Simplify right side
    129,630.24x = 14,648,901,618.12
  5. Step 5: Solve for x
    x = 14,648,901,618.12/129,630.24
  6. Step 6: Final answer
    x = 113,005.28

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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.