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Finding the Fourth Proportional to 145,857.30, 201,283.20 and 78,789.30

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Solution

The fourth proportional to 145,857.30, 201,283.20 and 78,789.30 is: 108,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,857.30 : 201,283.20 = 78,789.30 : x
  2. Step 2: Convert to fraction form
    145,857.30/201,283.20 = 78,789.30/x
  3. Step 3: Cross multiply
    145,857.30x = 201,283.20 × 78,789.30
  4. Step 4: Simplify right side
    145,857.30x = 15,858,962,429.76
  5. Step 5: Solve for x
    x = 15,858,962,429.76/145,857.30
  6. Step 6: Final answer
    x = 108,729.30

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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.