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Finding the Fourth Proportional to 185,346, 255,778.02 and 100,463.40

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Solution

The fourth proportional to 185,346, 255,778.02 and 100,463.40 is: 138,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,346 : 255,778.02 = 100,463.40 : x
  2. Step 2: Convert to fraction form
    185,346/255,778.02 = 100,463.40/x
  3. Step 3: Cross multiply
    185,346x = 255,778.02 × 100,463.40
  4. Step 4: Simplify right side
    185,346x = 25,696,329,534.47
  5. Step 5: Solve for x
    x = 25,696,329,534.47/185,346
  6. Step 6: Final answer
    x = 138,639.78

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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.