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Finding the Fourth Proportional to 283,718.40, 425,639.88 and 84,054.42

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Solution

The fourth proportional to 283,718.40, 425,639.88 and 84,054.42 is: 126,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,718.40 : 425,639.88 = 84,054.42 : x
  2. Step 2: Convert to fraction form
    283,718.40/425,639.88 = 84,054.42/x
  3. Step 3: Cross multiply
    283,718.40x = 425,639.88 × 84,054.42
  4. Step 4: Simplify right side
    283,718.40x = 35,776,913,242.27
  5. Step 5: Solve for x
    x = 35,776,913,242.27/283,718.40
  6. Step 6: Final answer
    x = 126,100.08

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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.