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Finding the Fourth Proportional to 145,323.84, 217,892.16 and 61,138.56

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Solution

The fourth proportional to 145,323.84, 217,892.16 and 61,138.56 is: 91,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,323.84 : 217,892.16 = 61,138.56 : x
  2. Step 2: Convert to fraction form
    145,323.84/217,892.16 = 61,138.56/x
  3. Step 3: Cross multiply
    145,323.84x = 217,892.16 × 61,138.56
  4. Step 4: Simplify right side
    145,323.84x = 13,321,612,897.69
  5. Step 5: Solve for x
    x = 13,321,612,897.69/145,323.84
  6. Step 6: Final answer
    x = 91,668.46

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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.