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Finding the Fourth Proportional to 78,119.12, 117,184.16 and 31,372

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Solution

The fourth proportional to 78,119.12, 117,184.16 and 31,372 is: 47,060.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,119.12 : 117,184.16 = 31,372 : x
  2. Step 2: Convert to fraction form
    78,119.12/117,184.16 = 31,372/x
  3. Step 3: Cross multiply
    78,119.12x = 117,184.16 × 31,372
  4. Step 4: Simplify right side
    78,119.12x = 3,676,301,467.52
  5. Step 5: Solve for x
    x = 3,676,301,467.52/78,119.12
  6. Step 6: Final answer
    x = 47,060.20

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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.