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Finding the Fourth Proportional to 145,858.68, 218,824.94 and 40,677.66

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Solution

The fourth proportional to 145,858.68, 218,824.94 and 40,677.66 is: 61,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,858.68 : 218,824.94 = 40,677.66 : x
  2. Step 2: Convert to fraction form
    145,858.68/218,824.94 = 40,677.66/x
  3. Step 3: Cross multiply
    145,858.68x = 218,824.94 × 40,677.66
  4. Step 4: Simplify right side
    145,858.68x = 8,901,286,508.84
  5. Step 5: Solve for x
    x = 8,901,286,508.84/145,858.68
  6. Step 6: Final answer
    x = 61,026.79

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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.