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Finding the Fourth Proportional to 218,073.44, 327,154.08 and 77,828.40

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Solution

The fourth proportional to 218,073.44, 327,154.08 and 77,828.40 is: 116,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,073.44 : 327,154.08 = 77,828.40 : x
  2. Step 2: Convert to fraction form
    218,073.44/327,154.08 = 77,828.40/x
  3. Step 3: Cross multiply
    218,073.44x = 327,154.08 × 77,828.40
  4. Step 4: Simplify right side
    218,073.44x = 25,461,878,599.87
  5. Step 5: Solve for x
    x = 25,461,878,599.87/218,073.44
  6. Step 6: Final answer
    x = 116,758.27

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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.