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Finding the Fourth Proportional to 176,129.83, 243,060.54 and 103,513.22

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Solution

The fourth proportional to 176,129.83, 243,060.54 and 103,513.22 is: 142,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,129.83 : 243,060.54 = 103,513.22 : x
  2. Step 2: Convert to fraction form
    176,129.83/243,060.54 = 103,513.22/x
  3. Step 3: Cross multiply
    176,129.83x = 243,060.54 × 103,513.22
  4. Step 4: Simplify right side
    176,129.83x = 25,159,979,757.99
  5. Step 5: Solve for x
    x = 25,159,979,757.99/176,129.83
  6. Step 6: Final answer
    x = 142,849.06

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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.