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Finding the Fourth Proportional to 112,492, 168,739.64 and 29,386

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Solution

The fourth proportional to 112,492, 168,739.64 and 29,386 is: 44,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,492 : 168,739.64 = 29,386 : x
  2. Step 2: Convert to fraction form
    112,492/168,739.64 = 29,386/x
  3. Step 3: Cross multiply
    112,492x = 168,739.64 × 29,386
  4. Step 4: Simplify right side
    112,492x = 4,958,583,061.04
  5. Step 5: Solve for x
    x = 4,958,583,061.04/112,492
  6. Step 6: Final answer
    x = 44,079.43

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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.