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Finding the Fourth Proportional to 157,469.16, 235,982.70 and 86,208.60

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Solution

The fourth proportional to 157,469.16, 235,982.70 and 86,208.60 is: 129,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,469.16 : 235,982.70 = 86,208.60 : x
  2. Step 2: Convert to fraction form
    157,469.16/235,982.70 = 86,208.60/x
  3. Step 3: Cross multiply
    157,469.16x = 235,982.70 × 86,208.60
  4. Step 4: Simplify right side
    157,469.16x = 20,343,738,191.22
  5. Step 5: Solve for x
    x = 20,343,738,191.22/157,469.16
  6. Step 6: Final answer
    x = 129,191.89

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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.