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Finding the Fourth Proportional to 77,640.78, 116,353.85 and 35,417.91

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Solution

The fourth proportional to 77,640.78, 116,353.85 and 35,417.91 is: 53,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640.78 : 116,353.85 = 35,417.91 : x
  2. Step 2: Convert to fraction form
    77,640.78/116,353.85 = 35,417.91/x
  3. Step 3: Cross multiply
    77,640.78x = 116,353.85 × 35,417.91
  4. Step 4: Simplify right side
    77,640.78x = 4,121,010,010.36
  5. Step 5: Solve for x
    x = 4,121,010,010.36/77,640.78
  6. Step 6: Final answer
    x = 53,077.91

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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.