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Finding the Fourth Proportional to 158,591.16, 218,862.09 and 86,973.75

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Solution

The fourth proportional to 158,591.16, 218,862.09 and 86,973.75 is: 120,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,591.16 : 218,862.09 = 86,973.75 : x
  2. Step 2: Convert to fraction form
    158,591.16/218,862.09 = 86,973.75/x
  3. Step 3: Cross multiply
    158,591.16x = 218,862.09 × 86,973.75
  4. Step 4: Simplify right side
    158,591.16x = 19,035,256,700.14
  5. Step 5: Solve for x
    x = 19,035,256,700.14/158,591.16
  6. Step 6: Final answer
    x = 120,027.22

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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.