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Finding the Fourth Proportional to 70,139.32, 105,241.78 and 40,582.01

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Solution

The fourth proportional to 70,139.32, 105,241.78 and 40,582.01 is: 60,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,139.32 : 105,241.78 = 40,582.01 : x
  2. Step 2: Convert to fraction form
    70,139.32/105,241.78 = 40,582.01/x
  3. Step 3: Cross multiply
    70,139.32x = 105,241.78 × 40,582.01
  4. Step 4: Simplify right side
    70,139.32x = 4,270,923,282.21
  5. Step 5: Solve for x
    x = 4,270,923,282.21/70,139.32
  6. Step 6: Final answer
    x = 60,892.00

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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.