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Finding the Fourth Proportional to 143,860.48, 215,852.90 and 77,222.78

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Solution

The fourth proportional to 143,860.48, 215,852.90 and 77,222.78 is: 115,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,860.48 : 215,852.90 = 77,222.78 : x
  2. Step 2: Convert to fraction form
    143,860.48/215,852.90 = 77,222.78/x
  3. Step 3: Cross multiply
    143,860.48x = 215,852.90 × 77,222.78
  4. Step 4: Simplify right side
    143,860.48x = 16,668,761,009.06
  5. Step 5: Solve for x
    x = 16,668,761,009.06/143,860.48
  6. Step 6: Final answer
    x = 115,867.55

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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.