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Finding the Fourth Proportional to 70,878, 106,264.27 and 30,889.40

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Solution

The fourth proportional to 70,878, 106,264.27 and 30,889.40 is: 46,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878 : 106,264.27 = 30,889.40 : x
  2. Step 2: Convert to fraction form
    70,878/106,264.27 = 30,889.40/x
  3. Step 3: Cross multiply
    70,878x = 106,264.27 × 30,889.40
  4. Step 4: Simplify right side
    70,878x = 3,282,438,933.19
  5. Step 5: Solve for x
    x = 3,282,438,933.19/70,878
  6. Step 6: Final answer
    x = 46,311.11

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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.