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Finding the Fourth Proportional to 77,100.96, 115,635.47 and 29,699.80

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Solution

The fourth proportional to 77,100.96, 115,635.47 and 29,699.80 is: 44,543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,100.96 : 115,635.47 = 29,699.80 : x
  2. Step 2: Convert to fraction form
    77,100.96/115,635.47 = 29,699.80/x
  3. Step 3: Cross multiply
    77,100.96x = 115,635.47 × 29,699.80
  4. Step 4: Simplify right side
    77,100.96x = 3,434,349,894.32
  5. Step 5: Solve for x
    x = 3,434,349,894.32/77,100.96
  6. Step 6: Final answer
    x = 44,543.54

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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.