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Finding the Fourth Proportional to 135,126.40, 202,689.60 and 97,801.60

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Solution

The fourth proportional to 135,126.40, 202,689.60 and 97,801.60 is: 146,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,126.40 : 202,689.60 = 97,801.60 : x
  2. Step 2: Convert to fraction form
    135,126.40/202,689.60 = 97,801.60/x
  3. Step 3: Cross multiply
    135,126.40x = 202,689.60 × 97,801.60
  4. Step 4: Simplify right side
    135,126.40x = 19,823,367,183.36
  5. Step 5: Solve for x
    x = 19,823,367,183.36/135,126.40
  6. Step 6: Final answer
    x = 146,702.40

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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.