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Finding the Fourth Proportional to 145,378.82, 217,845.65 and 97,817.74

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Solution

The fourth proportional to 145,378.82, 217,845.65 and 97,817.74 is: 146,576.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,378.82 : 217,845.65 = 97,817.74 : x
  2. Step 2: Convert to fraction form
    145,378.82/217,845.65 = 97,817.74/x
  3. Step 3: Cross multiply
    145,378.82x = 217,845.65 × 97,817.74
  4. Step 4: Simplify right side
    145,378.82x = 21,309,169,696.45
  5. Step 5: Solve for x
    x = 21,309,169,696.45/145,378.82
  6. Step 6: Final answer
    x = 146,576.86

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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.