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Finding the Fourth Proportional to 112,950, 169,502.76 and 39,078

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Solution

The fourth proportional to 112,950, 169,502.76 and 39,078 is: 58,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,950 : 169,502.76 = 39,078 : x
  2. Step 2: Convert to fraction form
    112,950/169,502.76 = 39,078/x
  3. Step 3: Cross multiply
    112,950x = 169,502.76 × 39,078
  4. Step 4: Simplify right side
    112,950x = 6,623,828,855.28
  5. Step 5: Solve for x
    x = 6,623,828,855.28/112,950
  6. Step 6: Final answer
    x = 58,643.90

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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.