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Finding the Fourth Proportional to 109,215.80, 163,823.70 and 42,658.10

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Solution

The fourth proportional to 109,215.80, 163,823.70 and 42,658.10 is: 63,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,215.80 : 163,823.70 = 42,658.10 : x
  2. Step 2: Convert to fraction form
    109,215.80/163,823.70 = 42,658.10/x
  3. Step 3: Cross multiply
    109,215.80x = 163,823.70 × 42,658.10
  4. Step 4: Simplify right side
    109,215.80x = 6,988,407,776.97
  5. Step 5: Solve for x
    x = 6,988,407,776.97/109,215.80
  6. Step 6: Final answer
    x = 63,987.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.