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Finding the Fourth Proportional to 129,770, 179,082.64 and 70,154

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Solution

The fourth proportional to 129,770, 179,082.64 and 70,154 is: 96,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,770 : 179,082.64 = 70,154 : x
  2. Step 2: Convert to fraction form
    129,770/179,082.64 = 70,154/x
  3. Step 3: Cross multiply
    129,770x = 179,082.64 × 70,154
  4. Step 4: Simplify right side
    129,770x = 12,563,363,526.56
  5. Step 5: Solve for x
    x = 12,563,363,526.56/129,770
  6. Step 6: Final answer
    x = 96,812.54

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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.