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Finding the Fourth Proportional to 102,071.79, 140,865.44 and 56,759.90

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Solution

The fourth proportional to 102,071.79, 140,865.44 and 56,759.90 is: 78,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,071.79 : 140,865.44 = 56,759.90 : x
  2. Step 2: Convert to fraction form
    102,071.79/140,865.44 = 56,759.90/x
  3. Step 3: Cross multiply
    102,071.79x = 140,865.44 × 56,759.90
  4. Step 4: Simplify right side
    102,071.79x = 7,995,507,299.73
  5. Step 5: Solve for x
    x = 7,995,507,299.73/102,071.79
  6. Step 6: Final answer
    x = 78,332.19

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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.