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Finding the Fourth Proportional to 160,718.84, 221,973.56 and 109,643.88

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Solution

The fourth proportional to 160,718.84, 221,973.56 and 109,643.88 is: 151,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,718.84 : 221,973.56 = 109,643.88 : x
  2. Step 2: Convert to fraction form
    160,718.84/221,973.56 = 109,643.88/x
  3. Step 3: Cross multiply
    160,718.84x = 221,973.56 × 109,643.88
  4. Step 4: Simplify right side
    160,718.84x = 24,338,042,375.81
  5. Step 5: Solve for x
    x = 24,338,042,375.81/160,718.84
  6. Step 6: Final answer
    x = 151,432.42

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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.