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Finding the Fourth Proportional to 102,069.53, 140,858.03 and 56,749.31

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Solution

The fourth proportional to 102,069.53, 140,858.03 and 56,749.31 is: 78,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,069.53 : 140,858.03 = 56,749.31 : x
  2. Step 2: Convert to fraction form
    102,069.53/140,858.03 = 56,749.31/x
  3. Step 3: Cross multiply
    102,069.53x = 140,858.03 × 56,749.31
  4. Step 4: Simplify right side
    102,069.53x = 7,993,595,726.71
  5. Step 5: Solve for x
    x = 7,993,595,726.71/102,069.53
  6. Step 6: Final answer
    x = 78,315.20

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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.