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Finding the Fourth Proportional to 144,347.67, 216,565.25 and 65,440.71

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Solution

The fourth proportional to 144,347.67, 216,565.25 and 65,440.71 is: 98,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,347.67 : 216,565.25 = 65,440.71 : x
  2. Step 2: Convert to fraction form
    144,347.67/216,565.25 = 65,440.71/x
  3. Step 3: Cross multiply
    144,347.67x = 216,565.25 × 65,440.71
  4. Step 4: Simplify right side
    144,347.67x = 14,172,183,394.12
  5. Step 5: Solve for x
    x = 14,172,183,394.12/144,347.67
  6. Step 6: Final answer
    x = 98,180.89

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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.