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Finding the Fourth Proportional to 188,685.25, 260,386.95 and 102,645.02

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Solution

The fourth proportional to 188,685.25, 260,386.95 and 102,645.02 is: 141,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,685.25 : 260,386.95 = 102,645.02 : x
  2. Step 2: Convert to fraction form
    188,685.25/260,386.95 = 102,645.02/x
  3. Step 3: Cross multiply
    188,685.25x = 260,386.95 × 102,645.02
  4. Step 4: Simplify right side
    188,685.25x = 26,727,424,726.38
  5. Step 5: Solve for x
    x = 26,727,424,726.38/188,685.25
  6. Step 6: Final answer
    x = 141,650.84

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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.