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Finding the Fourth Proportional to 253,137.32, 349,336.50 and 139,964.12

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Solution

The fourth proportional to 253,137.32, 349,336.50 and 139,964.12 is: 193,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,137.32 : 349,336.50 = 139,964.12 : x
  2. Step 2: Convert to fraction form
    253,137.32/349,336.50 = 139,964.12/x
  3. Step 3: Cross multiply
    253,137.32x = 349,336.50 × 139,964.12
  4. Step 4: Simplify right side
    253,137.32x = 48,894,575,806.38
  5. Step 5: Solve for x
    x = 48,894,575,806.38/253,137.32
  6. Step 6: Final answer
    x = 193,154.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.