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Finding the Fourth Proportional to 137,627.60, 189,929.16 and 83,915.60

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Solution

The fourth proportional to 137,627.60, 189,929.16 and 83,915.60 is: 115,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,627.60 : 189,929.16 = 83,915.60 : x
  2. Step 2: Convert to fraction form
    137,627.60/189,929.16 = 83,915.60/x
  3. Step 3: Cross multiply
    137,627.60x = 189,929.16 × 83,915.60
  4. Step 4: Simplify right side
    137,627.60x = 15,938,019,418.90
  5. Step 5: Solve for x
    x = 15,938,019,418.90/137,627.60
  6. Step 6: Final answer
    x = 115,805.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.