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Finding the Fourth Proportional to 100,677.78, 138,977.64 and 67,978.35

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Solution

The fourth proportional to 100,677.78, 138,977.64 and 67,978.35 is: 93,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,677.78 : 138,977.64 = 67,978.35 : x
  2. Step 2: Convert to fraction form
    100,677.78/138,977.64 = 67,978.35/x
  3. Step 3: Cross multiply
    100,677.78x = 138,977.64 × 67,978.35
  4. Step 4: Simplify right side
    100,677.78x = 9,447,470,654.09
  5. Step 5: Solve for x
    x = 9,447,470,654.09/100,677.78
  6. Step 6: Final answer
    x = 93,838.69

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1.5x scale

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.