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Finding the Fourth Proportional to 74,783.66, 112,077.88 and 30,358.40

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Solution

The fourth proportional to 74,783.66, 112,077.88 and 30,358.40 is: 45,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,783.66 : 112,077.88 = 30,358.40 : x
  2. Step 2: Convert to fraction form
    74,783.66/112,077.88 = 30,358.40/x
  3. Step 3: Cross multiply
    74,783.66x = 112,077.88 × 30,358.40
  4. Step 4: Simplify right side
    74,783.66x = 3,402,504,475.91
  5. Step 5: Solve for x
    x = 3,402,504,475.91/74,783.66
  6. Step 6: Final answer
    x = 45,497.97

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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.