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Finding the Fourth Proportional to 152,008.40, 209,771.16 and 84,940.40

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Solution

The fourth proportional to 152,008.40, 209,771.16 and 84,940.40 is: 117,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,008.40 : 209,771.16 = 84,940.40 : x
  2. Step 2: Convert to fraction form
    152,008.40/209,771.16 = 84,940.40/x
  3. Step 3: Cross multiply
    152,008.40x = 209,771.16 × 84,940.40
  4. Step 4: Simplify right side
    152,008.40x = 17,818,046,238.86
  5. Step 5: Solve for x
    x = 17,818,046,238.86/152,008.40
  6. Step 6: Final answer
    x = 117,217.51

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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.