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Finding the Fourth Proportional to 77,034, 115,560.72 and 26,442.89

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Solution

The fourth proportional to 77,034, 115,560.72 and 26,442.89 is: 39,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034 : 115,560.72 = 26,442.89 : x
  2. Step 2: Convert to fraction form
    77,034/115,560.72 = 26,442.89/x
  3. Step 3: Cross multiply
    77,034x = 115,560.72 × 26,442.89
  4. Step 4: Simplify right side
    77,034x = 3,055,758,829.48
  5. Step 5: Solve for x
    x = 3,055,758,829.48/77,034
  6. Step 6: Final answer
    x = 39,667.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.