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Finding the Fourth Proportional to 77,219.80, 115,904.60 and 37,266.91

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Solution

The fourth proportional to 77,219.80, 115,904.60 and 37,266.91 is: 55,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,219.80 : 115,904.60 = 37,266.91 : x
  2. Step 2: Convert to fraction form
    77,219.80/115,904.60 = 37,266.91/x
  3. Step 3: Cross multiply
    77,219.80x = 115,904.60 × 37,266.91
  4. Step 4: Simplify right side
    77,219.80x = 4,319,406,296.79
  5. Step 5: Solve for x
    x = 4,319,406,296.79/77,219.80
  6. Step 6: Final answer
    x = 55,936.51

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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.