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Finding the Fourth Proportional to 84,578.58, 126,807.84 and 42,428.34

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Solution

The fourth proportional to 84,578.58, 126,807.84 and 42,428.34 is: 63,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,578.58 : 126,807.84 = 42,428.34 : x
  2. Step 2: Convert to fraction form
    84,578.58/126,807.84 = 42,428.34/x
  3. Step 3: Cross multiply
    84,578.58x = 126,807.84 × 42,428.34
  4. Step 4: Simplify right side
    84,578.58x = 5,380,246,150.19
  5. Step 5: Solve for x
    x = 5,380,246,150.19/84,578.58
  6. Step 6: Final answer
    x = 63,612.40

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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.