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Finding the Fourth Proportional to 129,600, 178,848 and 69,984

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Solution

The fourth proportional to 129,600, 178,848 and 69,984 is: 96,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,600 : 178,848 = 69,984 : x
  2. Step 2: Convert to fraction form
    129,600/178,848 = 69,984/x
  3. Step 3: Cross multiply
    129,600x = 178,848 × 69,984
  4. Step 4: Simplify right side
    129,600x = 12,516,498,432
  5. Step 5: Solve for x
    x = 12,516,498,432/129,600
  6. Step 6: Final answer
    x = 96,577.92

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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.