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Finding the Fourth Proportional to 65,981.80, 98,859.30 and 30,849.40

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Solution

The fourth proportional to 65,981.80, 98,859.30 and 30,849.40 is: 46,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,981.80 : 98,859.30 = 30,849.40 : x
  2. Step 2: Convert to fraction form
    65,981.80/98,859.30 = 30,849.40/x
  3. Step 3: Cross multiply
    65,981.80x = 98,859.30 × 30,849.40
  4. Step 4: Simplify right side
    65,981.80x = 3,049,750,089.42
  5. Step 5: Solve for x
    x = 3,049,750,089.42/65,981.80
  6. Step 6: Final answer
    x = 46,221.08

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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.