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Finding the Fourth Proportional to 125,106.50, 172,646.98 and 80,394.50

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Solution

The fourth proportional to 125,106.50, 172,646.98 and 80,394.50 is: 110,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,106.50 : 172,646.98 = 80,394.50 : x
  2. Step 2: Convert to fraction form
    125,106.50/172,646.98 = 80,394.50/x
  3. Step 3: Cross multiply
    125,106.50x = 172,646.98 × 80,394.50
  4. Step 4: Simplify right side
    125,106.50x = 13,879,867,633.61
  5. Step 5: Solve for x
    x = 13,879,867,633.61/125,106.50
  6. Step 6: Final answer
    x = 110,944.42

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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.