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Finding the Fourth Proportional to 157,980.63, 218,013.33 and 86,360.64

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Solution

The fourth proportional to 157,980.63, 218,013.33 and 86,360.64 is: 119,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,980.63 : 218,013.33 = 86,360.64 : x
  2. Step 2: Convert to fraction form
    157,980.63/218,013.33 = 86,360.64/x
  3. Step 3: Cross multiply
    157,980.63x = 218,013.33 × 86,360.64
  4. Step 4: Simplify right side
    157,980.63x = 18,827,770,213.63
  5. Step 5: Solve for x
    x = 18,827,770,213.63/157,980.63
  6. Step 6: Final answer
    x = 119,177.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.