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Finding the Fourth Proportional to 188,645.40, 260,332.34 and 102,605.16

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Solution

The fourth proportional to 188,645.40, 260,332.34 and 102,605.16 is: 141,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,645.40 : 260,332.34 = 102,605.16 : x
  2. Step 2: Convert to fraction form
    188,645.40/260,332.34 = 102,605.16/x
  3. Step 3: Cross multiply
    188,645.40x = 260,332.34 × 102,605.16
  4. Step 4: Simplify right side
    188,645.40x = 26,711,441,398.87
  5. Step 5: Solve for x
    x = 26,711,441,398.87/188,645.40
  6. Step 6: Final answer
    x = 141,596.04

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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.