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Finding the Fourth Proportional to 253,138.32, 349,337.88 and 139,965.12

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Solution

The fourth proportional to 253,138.32, 349,337.88 and 139,965.12 is: 193,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,138.32 : 349,337.88 = 139,965.12 : x
  2. Step 2: Convert to fraction form
    253,138.32/349,337.88 = 139,965.12/x
  3. Step 3: Cross multiply
    253,138.32x = 349,337.88 × 139,965.12
  4. Step 4: Simplify right side
    253,138.32x = 48,895,118,294.75
  5. Step 5: Solve for x
    x = 48,895,118,294.75/253,138.32
  6. Step 6: Final answer
    x = 193,155.74

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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.