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Finding the Fourth Proportional to 77,242.88, 115,865.01 and 30,495.75

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Solution

The fourth proportional to 77,242.88, 115,865.01 and 30,495.75 is: 45,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242.88 : 115,865.01 = 30,495.75 : x
  2. Step 2: Convert to fraction form
    77,242.88/115,865.01 = 30,495.75/x
  3. Step 3: Cross multiply
    77,242.88x = 115,865.01 × 30,495.75
  4. Step 4: Simplify right side
    77,242.88x = 3,533,390,378.71
  5. Step 5: Solve for x
    x = 3,533,390,378.71/77,242.88
  6. Step 6: Final answer
    x = 45,743.90

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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.