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Finding the Fourth Proportional to 70,073.09, 105,047.12 and 25,689.48

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Solution

The fourth proportional to 70,073.09, 105,047.12 and 25,689.48 is: 38,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,073.09 : 105,047.12 = 25,689.48 : x
  2. Step 2: Convert to fraction form
    70,073.09/105,047.12 = 25,689.48/x
  3. Step 3: Cross multiply
    70,073.09x = 105,047.12 × 25,689.48
  4. Step 4: Simplify right side
    70,073.09x = 2,698,605,952.52
  5. Step 5: Solve for x
    x = 2,698,605,952.52/70,073.09
  6. Step 6: Final answer
    x = 38,511.30

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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.