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Finding the Fourth Proportional to 253,084.16, 349,238.58 and 139,898

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Solution

The fourth proportional to 253,084.16, 349,238.58 and 139,898 is: 193,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,084.16 : 349,238.58 = 139,898 : x
  2. Step 2: Convert to fraction form
    253,084.16/349,238.58 = 139,898/x
  3. Step 3: Cross multiply
    253,084.16x = 349,238.58 × 139,898
  4. Step 4: Simplify right side
    253,084.16x = 48,857,778,864.84
  5. Step 5: Solve for x
    x = 48,857,778,864.84/253,084.16
  6. Step 6: Final answer
    x = 193,049.53

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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.