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Finding the Fourth Proportional to 123,220.85, 170,071.11 and 77,869.89

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Solution

The fourth proportional to 123,220.85, 170,071.11 and 77,869.89 is: 107,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,220.85 : 170,071.11 = 77,869.89 : x
  2. Step 2: Convert to fraction form
    123,220.85/170,071.11 = 77,869.89/x
  3. Step 3: Cross multiply
    123,220.85x = 170,071.11 × 77,869.89
  4. Step 4: Simplify right side
    123,220.85x = 13,243,418,627.88
  5. Step 5: Solve for x
    x = 13,243,418,627.88/123,220.85
  6. Step 6: Final answer
    x = 107,477.10

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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.