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Finding the Fourth Proportional to 286,352.73, 429,543.95 and 73,122.66

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Solution

The fourth proportional to 286,352.73, 429,543.95 and 73,122.66 is: 109,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,352.73 : 429,543.95 = 73,122.66 : x
  2. Step 2: Convert to fraction form
    286,352.73/429,543.95 = 73,122.66/x
  3. Step 3: Cross multiply
    286,352.73x = 429,543.95 × 73,122.66
  4. Step 4: Simplify right side
    286,352.73x = 31,409,395,845.29
  5. Step 5: Solve for x
    x = 31,409,395,845.29/286,352.73
  6. Step 6: Final answer
    x = 109,687.78

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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.