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Finding the Fourth Proportional to 137,276.30, 205,948.20 and 47,320.40

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Solution

The fourth proportional to 137,276.30, 205,948.20 and 47,320.40 is: 70,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,276.30 : 205,948.20 = 47,320.40 : x
  2. Step 2: Convert to fraction form
    137,276.30/205,948.20 = 47,320.40/x
  3. Step 3: Cross multiply
    137,276.30x = 205,948.20 × 47,320.40
  4. Step 4: Simplify right side
    137,276.30x = 9,745,551,203.28
  5. Step 5: Solve for x
    x = 9,745,551,203.28/137,276.30
  6. Step 6: Final answer
    x = 70,992.23

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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.