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Finding the Fourth Proportional to 221,071.25, 305,127.53 and 140,483.03

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Solution

The fourth proportional to 221,071.25, 305,127.53 and 140,483.03 is: 193,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,071.25 : 305,127.53 = 140,483.03 : x
  2. Step 2: Convert to fraction form
    221,071.25/305,127.53 = 140,483.03/x
  3. Step 3: Cross multiply
    221,071.25x = 305,127.53 × 140,483.03
  4. Step 4: Simplify right side
    221,071.25x = 42,865,239,950.82
  5. Step 5: Solve for x
    x = 42,865,239,950.82/221,071.25
  6. Step 6: Final answer
    x = 193,897.85

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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.