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Finding the Fourth Proportional to 131,051.63, 180,731.31 and 97,144.59

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Solution

The fourth proportional to 131,051.63, 180,731.31 and 97,144.59 is: 133,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,051.63 : 180,731.31 = 97,144.59 : x
  2. Step 2: Convert to fraction form
    131,051.63/180,731.31 = 97,144.59/x
  3. Step 3: Cross multiply
    131,051.63x = 180,731.31 × 97,144.59
  4. Step 4: Simplify right side
    131,051.63x = 17,557,069,010.11
  5. Step 5: Solve for x
    x = 17,557,069,010.11/131,051.63
  6. Step 6: Final answer
    x = 133,970.63

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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.