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Finding the Fourth Proportional to 284,021.80, 425,870.70 and 106,534.60

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Solution

The fourth proportional to 284,021.80, 425,870.70 and 106,534.60 is: 159,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,021.80 : 425,870.70 = 106,534.60 : x
  2. Step 2: Convert to fraction form
    284,021.80/425,870.70 = 106,534.60/x
  3. Step 3: Cross multiply
    284,021.80x = 425,870.70 × 106,534.60
  4. Step 4: Simplify right side
    284,021.80x = 45,369,964,676.22
  5. Step 5: Solve for x
    x = 45,369,964,676.22/284,021.80
  6. Step 6: Final answer
    x = 159,741.13

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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.