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Finding the Fourth Proportional to 159,988, 239,993.84 and 61,492

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Solution

The fourth proportional to 159,988, 239,993.84 and 61,492 is: 92,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,988 : 239,993.84 = 61,492 : x
  2. Step 2: Convert to fraction form
    159,988/239,993.84 = 61,492/x
  3. Step 3: Cross multiply
    159,988x = 239,993.84 × 61,492
  4. Step 4: Simplify right side
    159,988x = 14,757,701,209.28
  5. Step 5: Solve for x
    x = 14,757,701,209.28/159,988
  6. Step 6: Final answer
    x = 92,242.55

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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.