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Finding the Fourth Proportional to 157,576.80, 236,168.10 and 78,713.04

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Solution

The fourth proportional to 157,576.80, 236,168.10 and 78,713.04 is: 117,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,576.80 : 236,168.10 = 78,713.04 : x
  2. Step 2: Convert to fraction form
    157,576.80/236,168.10 = 78,713.04/x
  3. Step 3: Cross multiply
    157,576.80x = 236,168.10 × 78,713.04
  4. Step 4: Simplify right side
    157,576.80x = 18,589,509,102.02
  5. Step 5: Solve for x
    x = 18,589,509,102.02/157,576.80
  6. Step 6: Final answer
    x = 117,971.10

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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.