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Finding the Fourth Proportional to 150,643.20, 207,878.40 and 82,646.40

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Solution

The fourth proportional to 150,643.20, 207,878.40 and 82,646.40 is: 114,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643.20 : 207,878.40 = 82,646.40 : x
  2. Step 2: Convert to fraction form
    150,643.20/207,878.40 = 82,646.40/x
  3. Step 3: Cross multiply
    150,643.20x = 207,878.40 × 82,646.40
  4. Step 4: Simplify right side
    150,643.20x = 17,180,401,397.76
  5. Step 5: Solve for x
    x = 17,180,401,397.76/150,643.20
  6. Step 6: Final answer
    x = 114,046.98

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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.