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Finding the Fourth Proportional to 145,438.66, 200,721.14 and 85,029.67

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Solution

The fourth proportional to 145,438.66, 200,721.14 and 85,029.67 is: 117,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438.66 : 200,721.14 = 85,029.67 : x
  2. Step 2: Convert to fraction form
    145,438.66/200,721.14 = 85,029.67/x
  3. Step 3: Cross multiply
    145,438.66x = 200,721.14 × 85,029.67
  4. Step 4: Simplify right side
    145,438.66x = 17,067,252,296.22
  5. Step 5: Solve for x
    x = 17,067,252,296.22/145,438.66
  6. Step 6: Final answer
    x = 117,350.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.