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Finding the Fourth Proportional to 112,911.84, 169,367.76 and 38,988

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Solution

The fourth proportional to 112,911.84, 169,367.76 and 38,988 is: 58,482

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,911.84 : 169,367.76 = 38,988 : x
  2. Step 2: Convert to fraction form
    112,911.84/169,367.76 = 38,988/x
  3. Step 3: Cross multiply
    112,911.84x = 169,367.76 × 38,988
  4. Step 4: Simplify right side
    112,911.84x = 6,603,310,226.88
  5. Step 5: Solve for x
    x = 6,603,310,226.88/112,911.84
  6. Step 6: Final answer
    x = 58,482

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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.