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Finding the Fourth Proportional to 131,046, 180,843.56 and 71,430

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Solution

The fourth proportional to 131,046, 180,843.56 and 71,430 is: 98,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,046 : 180,843.56 = 71,430 : x
  2. Step 2: Convert to fraction form
    131,046/180,843.56 = 71,430/x
  3. Step 3: Cross multiply
    131,046x = 180,843.56 × 71,430
  4. Step 4: Simplify right side
    131,046x = 12,917,655,490.80
  5. Step 5: Solve for x
    x = 12,917,655,490.80/131,046
  6. Step 6: Final answer
    x = 98,573.44

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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.