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Finding the Fourth Proportional to 102,506.69, 153,759.12 and 32,386

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Solution

The fourth proportional to 102,506.69, 153,759.12 and 32,386 is: 48,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.69 : 153,759.12 = 32,386 : x
  2. Step 2: Convert to fraction form
    102,506.69/153,759.12 = 32,386/x
  3. Step 3: Cross multiply
    102,506.69x = 153,759.12 × 32,386
  4. Step 4: Simplify right side
    102,506.69x = 4,979,642,860.32
  5. Step 5: Solve for x
    x = 4,979,642,860.32/102,506.69
  6. Step 6: Final answer
    x = 48,578.71

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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.