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Finding the Fourth Proportional to 123,647.42, 170,644.77 and 77,714.53

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Solution

The fourth proportional to 123,647.42, 170,644.77 and 77,714.53 is: 107,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,647.42 : 170,644.77 = 77,714.53 : x
  2. Step 2: Convert to fraction form
    123,647.42/170,644.77 = 77,714.53/x
  3. Step 3: Cross multiply
    123,647.42x = 170,644.77 × 77,714.53
  4. Step 4: Simplify right side
    123,647.42x = 13,261,577,670.90
  5. Step 5: Solve for x
    x = 13,261,577,670.90/123,647.42
  6. Step 6: Final answer
    x = 107,253.17

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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.