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Finding the Fourth Proportional to 188,523.52, 260,155.76 and 103,640

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Solution

The fourth proportional to 188,523.52, 260,155.76 and 103,640 is: 143,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,523.52 : 260,155.76 = 103,640 : x
  2. Step 2: Convert to fraction form
    188,523.52/260,155.76 = 103,640/x
  3. Step 3: Cross multiply
    188,523.52x = 260,155.76 × 103,640
  4. Step 4: Simplify right side
    188,523.52x = 26,962,542,966.40
  5. Step 5: Solve for x
    x = 26,962,542,966.40/188,523.52
  6. Step 6: Final answer
    x = 143,019.52

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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.