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Finding the Fourth Proportional to 75,139.50, 103,695.78 and 41,605.50

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Solution

The fourth proportional to 75,139.50, 103,695.78 and 41,605.50 is: 57,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,139.50 : 103,695.78 = 41,605.50 : x
  2. Step 2: Convert to fraction form
    75,139.50/103,695.78 = 41,605.50/x
  3. Step 3: Cross multiply
    75,139.50x = 103,695.78 × 41,605.50
  4. Step 4: Simplify right side
    75,139.50x = 4,314,314,774.79
  5. Step 5: Solve for x
    x = 4,314,314,774.79/75,139.50
  6. Step 6: Final answer
    x = 57,417.40

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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.