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Finding the Fourth Proportional to 89,314.78, 123,264.21 and 51,077.89

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Solution

The fourth proportional to 89,314.78, 123,264.21 and 51,077.89 is: 70,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,314.78 : 123,264.21 = 51,077.89 : x
  2. Step 2: Convert to fraction form
    89,314.78/123,264.21 = 51,077.89/x
  3. Step 3: Cross multiply
    89,314.78x = 123,264.21 × 51,077.89
  4. Step 4: Simplify right side
    89,314.78x = 6,296,075,749.60
  5. Step 5: Solve for x
    x = 6,296,075,749.60/89,314.78
  6. Step 6: Final answer
    x = 70,493.10

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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.