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Finding the Fourth Proportional to 71,206.40, 106,809.60 and 34,342.40

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Solution

The fourth proportional to 71,206.40, 106,809.60 and 34,342.40 is: 51,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,206.40 : 106,809.60 = 34,342.40 : x
  2. Step 2: Convert to fraction form
    71,206.40/106,809.60 = 34,342.40/x
  3. Step 3: Cross multiply
    71,206.40x = 106,809.60 × 34,342.40
  4. Step 4: Simplify right side
    71,206.40x = 3,668,098,007.04
  5. Step 5: Solve for x
    x = 3,668,098,007.04/71,206.40
  6. Step 6: Final answer
    x = 51,513.60

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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.