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Finding the Fourth Proportional to 123,998.23, 185,865.65 and 78,877.64

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Solution

The fourth proportional to 123,998.23, 185,865.65 and 78,877.64 is: 118,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,998.23 : 185,865.65 = 78,877.64 : x
  2. Step 2: Convert to fraction form
    123,998.23/185,865.65 = 78,877.64/x
  3. Step 3: Cross multiply
    123,998.23x = 185,865.65 × 78,877.64
  4. Step 4: Simplify right side
    123,998.23x = 14,660,643,587.28
  5. Step 5: Solve for x
    x = 14,660,643,587.28/123,998.23
  6. Step 6: Final answer
    x = 118,232.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.