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Finding the Fourth Proportional to 207,265, 310,905.60 and 65,207.20

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Solution

The fourth proportional to 207,265, 310,905.60 and 65,207.20 is: 97,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,265 : 310,905.60 = 65,207.20 : x
  2. Step 2: Convert to fraction form
    207,265/310,905.60 = 65,207.20/x
  3. Step 3: Cross multiply
    207,265x = 310,905.60 × 65,207.20
  4. Step 4: Simplify right side
    207,265x = 20,273,283,640.32
  5. Step 5: Solve for x
    x = 20,273,283,640.32/207,265
  6. Step 6: Final answer
    x = 97,813.35

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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.