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Finding the Fourth Proportional to 253,102.71, 349,266.74 and 139,918.71

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Solution

The fourth proportional to 253,102.71, 349,266.74 and 139,918.71 is: 193,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,102.71 : 349,266.74 = 139,918.71 : x
  2. Step 2: Convert to fraction form
    253,102.71/349,266.74 = 139,918.71/x
  3. Step 3: Cross multiply
    253,102.71x = 349,266.74 × 139,918.71
  4. Step 4: Simplify right side
    253,102.71x = 48,868,949,260.78
  5. Step 5: Solve for x
    x = 48,868,949,260.78/253,102.71
  6. Step 6: Final answer
    x = 193,079.52

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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.