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Finding the Fourth Proportional to 151,322.30, 208,816.77 and 86,788.22

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Solution

The fourth proportional to 151,322.30, 208,816.77 and 86,788.22 is: 119,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,322.30 : 208,816.77 = 86,788.22 : x
  2. Step 2: Convert to fraction form
    151,322.30/208,816.77 = 86,788.22/x
  3. Step 3: Cross multiply
    151,322.30x = 208,816.77 × 86,788.22
  4. Step 4: Simplify right side
    151,322.30x = 18,122,836,402.02
  5. Step 5: Solve for x
    x = 18,122,836,402.02/151,322.30
  6. Step 6: Final answer
    x = 119,763.16

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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.