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Finding the Fourth Proportional to 97,696.40, 146,515.80 and 38,512.40

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Solution

The fourth proportional to 97,696.40, 146,515.80 and 38,512.40 is: 57,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,696.40 : 146,515.80 = 38,512.40 : x
  2. Step 2: Convert to fraction form
    97,696.40/146,515.80 = 38,512.40/x
  3. Step 3: Cross multiply
    97,696.40x = 146,515.80 × 38,512.40
  4. Step 4: Simplify right side
    97,696.40x = 5,642,675,095.92
  5. Step 5: Solve for x
    x = 5,642,675,095.92/97,696.40
  6. Step 6: Final answer
    x = 57,757.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.