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Finding the Fourth Proportional to 121,543.20, 182,023.20 and 98,215.20

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Solution

The fourth proportional to 121,543.20, 182,023.20 and 98,215.20 is: 147,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,543.20 : 182,023.20 = 98,215.20 : x
  2. Step 2: Convert to fraction form
    121,543.20/182,023.20 = 98,215.20/x
  3. Step 3: Cross multiply
    121,543.20x = 182,023.20 × 98,215.20
  4. Step 4: Simplify right side
    121,543.20x = 17,877,444,992.64
  5. Step 5: Solve for x
    x = 17,877,444,992.64/121,543.20
  6. Step 6: Final answer
    x = 147,087.17

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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.