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Finding the Fourth Proportional to 106,019.86, 159,029.47 and 42,839.24

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Solution

The fourth proportional to 106,019.86, 159,029.47 and 42,839.24 is: 64,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,019.86 : 159,029.47 = 42,839.24 : x
  2. Step 2: Convert to fraction form
    106,019.86/159,029.47 = 42,839.24/x
  3. Step 3: Cross multiply
    106,019.86x = 159,029.47 × 42,839.24
  4. Step 4: Simplify right side
    106,019.86x = 6,812,701,632.40
  5. Step 5: Solve for x
    x = 6,812,701,632.40/106,019.86
  6. Step 6: Final answer
    x = 64,258.73

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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.