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Finding the Fourth Proportional to 102,452.69, 153,696.65 and 31,373.57

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Solution

The fourth proportional to 102,452.69, 153,696.65 and 31,373.57 is: 47,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,452.69 : 153,696.65 = 31,373.57 : x
  2. Step 2: Convert to fraction form
    102,452.69/153,696.65 = 31,373.57/x
  3. Step 3: Cross multiply
    102,452.69x = 153,696.65 × 31,373.57
  4. Step 4: Simplify right side
    102,452.69x = 4,822,012,607.54
  5. Step 5: Solve for x
    x = 4,822,012,607.54/102,452.69
  6. Step 6: Final answer
    x = 47,065.75

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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.