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Finding the Fourth Proportional to 250,255, 345,352.08 and 137,078.20

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Solution

The fourth proportional to 250,255, 345,352.08 and 137,078.20 is: 189,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,255 : 345,352.08 = 137,078.20 : x
  2. Step 2: Convert to fraction form
    250,255/345,352.08 = 137,078.20/x
  3. Step 3: Cross multiply
    250,255x = 345,352.08 × 137,078.20
  4. Step 4: Simplify right side
    250,255x = 47,340,241,492.66
  5. Step 5: Solve for x
    x = 47,340,241,492.66/250,255
  6. Step 6: Final answer
    x = 189,168.01

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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.