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Finding the Fourth Proportional to 145,242.89, 217,913.54 and 74,195.46

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Solution

The fourth proportional to 145,242.89, 217,913.54 and 74,195.46 is: 111,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,242.89 : 217,913.54 = 74,195.46 : x
  2. Step 2: Convert to fraction form
    145,242.89/217,913.54 = 74,195.46/x
  3. Step 3: Cross multiply
    145,242.89x = 217,913.54 × 74,195.46
  4. Step 4: Simplify right side
    145,242.89x = 16,168,195,386.90
  5. Step 5: Solve for x
    x = 16,168,195,386.90/145,242.89
  6. Step 6: Final answer
    x = 111,318.33

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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.