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Finding the Fourth Proportional to 193,292.47, 266,756.93 and 108,415

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Solution

The fourth proportional to 193,292.47, 266,756.93 and 108,415 is: 149,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,292.47 : 266,756.93 = 108,415 : x
  2. Step 2: Convert to fraction form
    193,292.47/266,756.93 = 108,415/x
  3. Step 3: Cross multiply
    193,292.47x = 266,756.93 × 108,415
  4. Step 4: Simplify right side
    193,292.47x = 28,920,452,565.95
  5. Step 5: Solve for x
    x = 28,920,452,565.95/193,292.47
  6. Step 6: Final answer
    x = 149,620.17

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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.