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Finding the Fourth Proportional to 145,310.72, 217,848.42 and 45,419.49

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Solution

The fourth proportional to 145,310.72, 217,848.42 and 45,419.49 is: 68,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,310.72 : 217,848.42 = 45,419.49 : x
  2. Step 2: Convert to fraction form
    145,310.72/217,848.42 = 45,419.49/x
  3. Step 3: Cross multiply
    145,310.72x = 217,848.42 × 45,419.49
  4. Step 4: Simplify right side
    145,310.72x = 9,894,564,133.71
  5. Step 5: Solve for x
    x = 9,894,564,133.71/145,310.72
  6. Step 6: Final answer
    x = 68,092.46

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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.