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Finding the Fourth Proportional to 157,172.80, 235,816.04 and 97,131

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Solution

The fourth proportional to 157,172.80, 235,816.04 and 97,131 is: 145,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,172.80 : 235,816.04 = 97,131 : x
  2. Step 2: Convert to fraction form
    157,172.80/235,816.04 = 97,131/x
  3. Step 3: Cross multiply
    157,172.80x = 235,816.04 × 97,131
  4. Step 4: Simplify right side
    157,172.80x = 22,905,047,781.24
  5. Step 5: Solve for x
    x = 22,905,047,781.24/157,172.80
  6. Step 6: Final answer
    x = 145,731.63

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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.