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Finding the Fourth Proportional to 145,290.54, 217,529.76 and 78,491.34

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Solution

The fourth proportional to 145,290.54, 217,529.76 and 78,491.34 is: 117,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,290.54 : 217,529.76 = 78,491.34 : x
  2. Step 2: Convert to fraction form
    145,290.54/217,529.76 = 78,491.34/x
  3. Step 3: Cross multiply
    145,290.54x = 217,529.76 × 78,491.34
  4. Step 4: Simplify right side
    145,290.54x = 17,074,202,352.28
  5. Step 5: Solve for x
    x = 17,074,202,352.28/145,290.54
  6. Step 6: Final answer
    x = 117,517.65

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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.