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Finding the Fourth Proportional to 40,969, 61,454.94 and 23,430.76

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Solution

The fourth proportional to 40,969, 61,454.94 and 23,430.76 is: 35,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,969 : 61,454.94 = 23,430.76 : x
  2. Step 2: Convert to fraction form
    40,969/61,454.94 = 23,430.76/x
  3. Step 3: Cross multiply
    40,969x = 61,454.94 × 23,430.76
  4. Step 4: Simplify right side
    40,969x = 1,439,935,949.95
  5. Step 5: Solve for x
    x = 1,439,935,949.95/40,969
  6. Step 6: Final answer
    x = 35,146.96

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1.5x scale

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.