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Finding the Fourth Proportional to 112,788, 169,182 and 38,916

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Solution

The fourth proportional to 112,788, 169,182 and 38,916 is: 58,374

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,788 : 169,182 = 38,916 : x
  2. Step 2: Convert to fraction form
    112,788/169,182 = 38,916/x
  3. Step 3: Cross multiply
    112,788x = 169,182 × 38,916
  4. Step 4: Simplify right side
    112,788x = 6,583,886,712
  5. Step 5: Solve for x
    x = 6,583,886,712/112,788
  6. Step 6: Final answer
    x = 58,374

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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.