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Finding the Fourth Proportional to 112,050, 168,103.80 and 38,178

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Solution

The fourth proportional to 112,050, 168,103.80 and 38,178 is: 57,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,050 : 168,103.80 = 38,178 : x
  2. Step 2: Convert to fraction form
    112,050/168,103.80 = 38,178/x
  3. Step 3: Cross multiply
    112,050x = 168,103.80 × 38,178
  4. Step 4: Simplify right side
    112,050x = 6,417,866,876.40
  5. Step 5: Solve for x
    x = 6,417,866,876.40/112,050
  6. Step 6: Final answer
    x = 57,276.81

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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.