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Finding the Fourth Proportional to 70,870.20, 106,266.90 and 29,321.40

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Solution

The fourth proportional to 70,870.20, 106,266.90 and 29,321.40 is: 43,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,870.20 : 106,266.90 = 29,321.40 : x
  2. Step 2: Convert to fraction form
    70,870.20/106,266.90 = 29,321.40/x
  3. Step 3: Cross multiply
    70,870.20x = 106,266.90 × 29,321.40
  4. Step 4: Simplify right side
    70,870.20x = 3,115,894,281.66
  5. Step 5: Solve for x
    x = 3,115,894,281.66/70,870.20
  6. Step 6: Final answer
    x = 43,966.21

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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.