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Finding the Fourth Proportional to 101,887.52, 152,782.11 and 42,707.30

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Solution

The fourth proportional to 101,887.52, 152,782.11 and 42,707.30 is: 64,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,887.52 : 152,782.11 = 42,707.30 : x
  2. Step 2: Convert to fraction form
    101,887.52/152,782.11 = 42,707.30/x
  3. Step 3: Cross multiply
    101,887.52x = 152,782.11 × 42,707.30
  4. Step 4: Simplify right side
    101,887.52x = 6,524,910,642.49
  5. Step 5: Solve for x
    x = 6,524,910,642.49/101,887.52
  6. Step 6: Final answer
    x = 64,040.34

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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.