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Finding the Fourth Proportional to 77,780.99, 116,733.77 and 35,680.89

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Solution

The fourth proportional to 77,780.99, 116,733.77 and 35,680.89 is: 53,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,780.99 : 116,733.77 = 35,680.89 : x
  2. Step 2: Convert to fraction form
    77,780.99/116,733.77 = 35,680.89/x
  3. Step 3: Cross multiply
    77,780.99x = 116,733.77 × 35,680.89
  4. Step 4: Simplify right side
    77,780.99x = 4,165,164,628.25
  5. Step 5: Solve for x
    x = 4,165,164,628.25/77,780.99
  6. Step 6: Final answer
    x = 53,549.91

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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.