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Finding the Fourth Proportional to 89,783.30, 134,714.61 and 47,078.53

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Solution

The fourth proportional to 89,783.30, 134,714.61 and 47,078.53 is: 70,638.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,783.30 : 134,714.61 = 47,078.53 : x
  2. Step 2: Convert to fraction form
    89,783.30/134,714.61 = 47,078.53/x
  3. Step 3: Cross multiply
    89,783.30x = 134,714.61 × 47,078.53
  4. Step 4: Simplify right side
    89,783.30x = 6,342,165,134.75
  5. Step 5: Solve for x
    x = 6,342,165,134.75/89,783.30
  6. Step 6: Final answer
    x = 70,638.59

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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.