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Finding the Fourth Proportional to 129,610, 178,861.80 and 69,994

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Solution

The fourth proportional to 129,610, 178,861.80 and 69,994 is: 96,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,610 : 178,861.80 = 69,994 : x
  2. Step 2: Convert to fraction form
    129,610/178,861.80 = 69,994/x
  3. Step 3: Cross multiply
    129,610x = 178,861.80 × 69,994
  4. Step 4: Simplify right side
    129,610x = 12,519,252,829.20
  5. Step 5: Solve for x
    x = 12,519,252,829.20/129,610
  6. Step 6: Final answer
    x = 96,591.72

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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.