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Finding the Fourth Proportional to 71,209.40, 106,814.10 and 34,345.40

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Solution

The fourth proportional to 71,209.40, 106,814.10 and 34,345.40 is: 51,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.40 : 106,814.10 = 34,345.40 : x
  2. Step 2: Convert to fraction form
    71,209.40/106,814.10 = 34,345.40/x
  3. Step 3: Cross multiply
    71,209.40x = 106,814.10 × 34,345.40
  4. Step 4: Simplify right side
    71,209.40x = 3,668,572,990.14
  5. Step 5: Solve for x
    x = 3,668,572,990.14/71,209.40
  6. Step 6: Final answer
    x = 51,518.10

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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.