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Finding the Fourth Proportional to 121,563.94, 182,427.34 and 42,678.40

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Solution

The fourth proportional to 121,563.94, 182,427.34 and 42,678.40 is: 64,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,563.94 : 182,427.34 = 42,678.40 : x
  2. Step 2: Convert to fraction form
    121,563.94/182,427.34 = 42,678.40/x
  3. Step 3: Cross multiply
    121,563.94x = 182,427.34 × 42,678.40
  4. Step 4: Simplify right side
    121,563.94x = 7,785,706,987.46
  5. Step 5: Solve for x
    x = 7,785,706,987.46/121,563.94
  6. Step 6: Final answer
    x = 64,046.19

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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.