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Finding the Fourth Proportional to 125,684.46, 173,511.72 and 77,978.70

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Solution

The fourth proportional to 125,684.46, 173,511.72 and 77,978.70 is: 107,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,684.46 : 173,511.72 = 77,978.70 : x
  2. Step 2: Convert to fraction form
    125,684.46/173,511.72 = 77,978.70/x
  3. Step 3: Cross multiply
    125,684.46x = 173,511.72 × 77,978.70
  4. Step 4: Simplify right side
    125,684.46x = 13,530,218,360.36
  5. Step 5: Solve for x
    x = 13,530,218,360.36/125,684.46
  6. Step 6: Final answer
    x = 107,652.28

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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.