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Finding the Fourth Proportional to 157,984.13, 218,022.84 and 86,367.98

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Solution

The fourth proportional to 157,984.13, 218,022.84 and 86,367.98 is: 119,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,984.13 : 218,022.84 = 86,367.98 : x
  2. Step 2: Convert to fraction form
    157,984.13/218,022.84 = 86,367.98/x
  3. Step 3: Cross multiply
    157,984.13x = 218,022.84 × 86,367.98
  4. Step 4: Simplify right side
    157,984.13x = 18,830,191,194.55
  5. Step 5: Solve for x
    x = 18,830,191,194.55/157,984.13
  6. Step 6: Final answer
    x = 119,190.40

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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.