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Finding the Fourth Proportional to 220,712, 304,561.50 and 123,893.69

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Solution

The fourth proportional to 220,712, 304,561.50 and 123,893.69 is: 170,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,712 : 304,561.50 = 123,893.69 : x
  2. Step 2: Convert to fraction form
    220,712/304,561.50 = 123,893.69/x
  3. Step 3: Cross multiply
    220,712x = 304,561.50 × 123,893.69
  4. Step 4: Simplify right side
    220,712x = 37,733,248,066.94
  5. Step 5: Solve for x
    x = 37,733,248,066.94/220,712
  6. Step 6: Final answer
    x = 170,961.47

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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.