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Finding the Fourth Proportional to 144,159.06, 216,238.06 and 38,978

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Solution

The fourth proportional to 144,159.06, 216,238.06 and 38,978 is: 58,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,159.06 : 216,238.06 = 38,978 : x
  2. Step 2: Convert to fraction form
    144,159.06/216,238.06 = 38,978/x
  3. Step 3: Cross multiply
    144,159.06x = 216,238.06 × 38,978
  4. Step 4: Simplify right side
    144,159.06x = 8,428,527,102.68
  5. Step 5: Solve for x
    x = 8,428,527,102.68/144,159.06
  6. Step 6: Final answer
    x = 58,466.86

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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.