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Finding the Fourth Proportional to 207,113.40, 310,086.90 and 201,281.40

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Solution

The fourth proportional to 207,113.40, 310,086.90 and 201,281.40 is: 301,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,113.40 : 310,086.90 = 201,281.40 : x
  2. Step 2: Convert to fraction form
    207,113.40/310,086.90 = 201,281.40/x
  3. Step 3: Cross multiply
    207,113.40x = 310,086.90 × 201,281.40
  4. Step 4: Simplify right side
    207,113.40x = 62,414,725,353.66
  5. Step 5: Solve for x
    x = 62,414,725,353.66/207,113.40
  6. Step 6: Final answer
    x = 301,355.32

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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.