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Finding the Fourth Proportional to 159,426, 220,017.86 and 87,806.00

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Solution

The fourth proportional to 159,426, 220,017.86 and 87,806.00 is: 121,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,426 : 220,017.86 = 87,806.00 : x
  2. Step 2: Convert to fraction form
    159,426/220,017.86 = 87,806.00/x
  3. Step 3: Cross multiply
    159,426x = 220,017.86 × 87,806.00
  4. Step 4: Simplify right side
    159,426x = 19,318,888,984.72
  5. Step 5: Solve for x
    x = 19,318,888,984.72/159,426
  6. Step 6: Final answer
    x = 121,177.78

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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.