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Finding the Fourth Proportional to 89,783.64, 134,715.13 and 47,078.87

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Solution

The fourth proportional to 89,783.64, 134,715.13 and 47,078.87 is: 70,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,783.64 : 134,715.13 = 47,078.87 : x
  2. Step 2: Convert to fraction form
    89,783.64/134,715.13 = 47,078.87/x
  3. Step 3: Cross multiply
    89,783.64x = 134,715.13 × 47,078.87
  4. Step 4: Simplify right side
    89,783.64x = 6,342,236,092.30
  5. Step 5: Solve for x
    x = 6,342,236,092.30/89,783.64
  6. Step 6: Final answer
    x = 70,639.11

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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.