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Finding the Fourth Proportional to 30,178.50, 45,270.18 and 9,402

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Solution

The fourth proportional to 30,178.50, 45,270.18 and 9,402 is: 14,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.50 : 45,270.18 = 9,402 : x
  2. Step 2: Convert to fraction form
    30,178.50/45,270.18 = 9,402/x
  3. Step 3: Cross multiply
    30,178.50x = 45,270.18 × 9,402
  4. Step 4: Simplify right side
    30,178.50x = 425,630,232.36
  5. Step 5: Solve for x
    x = 425,630,232.36/30,178.50
  6. Step 6: Final answer
    x = 14,103.76

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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.