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Finding the Fourth Proportional to 89,784, 134,695.44 and 34,380

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Solution

The fourth proportional to 89,784, 134,695.44 and 34,380 is: 51,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,784 : 134,695.44 = 34,380 : x
  2. Step 2: Convert to fraction form
    89,784/134,695.44 = 34,380/x
  3. Step 3: Cross multiply
    89,784x = 134,695.44 × 34,380
  4. Step 4: Simplify right side
    89,784x = 4,630,829,227.20
  5. Step 5: Solve for x
    x = 4,630,829,227.20/89,784
  6. Step 6: Final answer
    x = 51,577.44

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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.