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Finding the Fourth Proportional to 251,538.71, 347,121.72 and 142,663.77

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Solution

The fourth proportional to 251,538.71, 347,121.72 and 142,663.77 is: 196,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,538.71 : 347,121.72 = 142,663.77 : x
  2. Step 2: Convert to fraction form
    251,538.71/347,121.72 = 142,663.77/x
  3. Step 3: Cross multiply
    251,538.71x = 347,121.72 × 142,663.77
  4. Step 4: Simplify right side
    251,538.71x = 49,521,693,224.08
  5. Step 5: Solve for x
    x = 49,521,693,224.08/251,538.71
  6. Step 6: Final answer
    x = 196,875.04

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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.