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Finding the Fourth Proportional to 160,859.84, 221,986.85 and 89,239.86

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Solution

The fourth proportional to 160,859.84, 221,986.85 and 89,239.86 is: 123,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,859.84 : 221,986.85 = 89,239.86 : x
  2. Step 2: Convert to fraction form
    160,859.84/221,986.85 = 89,239.86/x
  3. Step 3: Cross multiply
    160,859.84x = 221,986.85 × 89,239.86
  4. Step 4: Simplify right side
    160,859.84x = 19,810,074,969.64
  5. Step 5: Solve for x
    x = 19,810,074,969.64/160,859.84
  6. Step 6: Final answer
    x = 123,151.16

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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.