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Finding the Fourth Proportional to 160,207.42, 221,182.17 and 99,859.80

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Solution

The fourth proportional to 160,207.42, 221,182.17 and 99,859.80 is: 137,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,207.42 : 221,182.17 = 99,859.80 : x
  2. Step 2: Convert to fraction form
    160,207.42/221,182.17 = 99,859.80/x
  3. Step 3: Cross multiply
    160,207.42x = 221,182.17 × 99,859.80
  4. Step 4: Simplify right side
    160,207.42x = 22,087,207,259.77
  5. Step 5: Solve for x
    x = 22,087,207,259.77/160,207.42
  6. Step 6: Final answer
    x = 137,866.32

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