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Finding the Fourth Proportional to 70,382.46, 105,580.38 and 19,781.40

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Solution

The fourth proportional to 70,382.46, 105,580.38 and 19,781.40 is: 29,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,382.46 : 105,580.38 = 19,781.40 : x
  2. Step 2: Convert to fraction form
    70,382.46/105,580.38 = 19,781.40/x
  3. Step 3: Cross multiply
    70,382.46x = 105,580.38 × 19,781.40
  4. Step 4: Simplify right side
    70,382.46x = 2,088,527,728.93
  5. Step 5: Solve for x
    x = 2,088,527,728.93/70,382.46
  6. Step 6: Final answer
    x = 29,673.98

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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.