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Finding the Fourth Proportional to 160,808.16, 221,928.88 and 89,211.24

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Solution

The fourth proportional to 160,808.16, 221,928.88 and 89,211.24 is: 123,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,808.16 : 221,928.88 = 89,211.24 : x
  2. Step 2: Convert to fraction form
    160,808.16/221,928.88 = 89,211.24/x
  3. Step 3: Cross multiply
    160,808.16x = 221,928.88 × 89,211.24
  4. Step 4: Simplify right side
    160,808.16x = 19,798,550,576.61
  5. Step 5: Solve for x
    x = 19,798,550,576.61/160,808.16
  6. Step 6: Final answer
    x = 123,119.07

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1.5x scale

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.