Home / 78,123.12-117,190.16-31,376

Finding the Fourth Proportional to 78,123.12, 117,190.16 and 31,376

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Solution

The fourth proportional to 78,123.12, 117,190.16 and 31,376 is: 47,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123.12 : 117,190.16 = 31,376 : x
  2. Step 2: Convert to fraction form
    78,123.12/117,190.16 = 31,376/x
  3. Step 3: Cross multiply
    78,123.12x = 117,190.16 × 31,376
  4. Step 4: Simplify right side
    78,123.12x = 3,676,958,460.16
  5. Step 5: Solve for x
    x = 3,676,958,460.16/78,123.12
  6. Step 6: Final answer
    x = 47,066.20

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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.