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Finding the Fourth Proportional to 115,206.31, 159,014.78 and 75,030.31

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Solution

The fourth proportional to 115,206.31, 159,014.78 and 75,030.31 is: 103,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,206.31 : 159,014.78 = 75,030.31 : x
  2. Step 2: Convert to fraction form
    115,206.31/159,014.78 = 75,030.31/x
  3. Step 3: Cross multiply
    115,206.31x = 159,014.78 × 75,030.31
  4. Step 4: Simplify right side
    115,206.31x = 11,930,928,237.98
  5. Step 5: Solve for x
    x = 11,930,928,237.98/115,206.31
  6. Step 6: Final answer
    x = 103,561.41

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1.5x scale

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.