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Finding the Fourth Proportional to 117,540, 176,310 and 29,988

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Solution

The fourth proportional to 117,540, 176,310 and 29,988 is: 44,982

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,540 : 176,310 = 29,988 : x
  2. Step 2: Convert to fraction form
    117,540/176,310 = 29,988/x
  3. Step 3: Cross multiply
    117,540x = 176,310 × 29,988
  4. Step 4: Simplify right side
    117,540x = 5,287,184,280
  5. Step 5: Solve for x
    x = 5,287,184,280/117,540
  6. Step 6: Final answer
    x = 44,982

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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.