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Finding the Fourth Proportional to 144,407.67, 216,430.88 and 69,507.78

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Solution

The fourth proportional to 144,407.67, 216,430.88 and 69,507.78 is: 104,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,407.67 : 216,430.88 = 69,507.78 : x
  2. Step 2: Convert to fraction form
    144,407.67/216,430.88 = 69,507.78/x
  3. Step 3: Cross multiply
    144,407.67x = 216,430.88 × 69,507.78
  4. Step 4: Simplify right side
    144,407.67x = 15,043,629,644.71
  5. Step 5: Solve for x
    x = 15,043,629,644.71/144,407.67
  6. Step 6: Final answer
    x = 104,174.73

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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.