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Finding the Fourth Proportional to 157,875.44, 217,871.24 and 86,259.90

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Solution

The fourth proportional to 157,875.44, 217,871.24 and 86,259.90 is: 119,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,875.44 : 217,871.24 = 86,259.90 : x
  2. Step 2: Convert to fraction form
    157,875.44/217,871.24 = 86,259.90/x
  3. Step 3: Cross multiply
    157,875.44x = 217,871.24 × 86,259.90
  4. Step 4: Simplify right side
    157,875.44x = 18,793,550,943.98
  5. Step 5: Solve for x
    x = 18,793,550,943.98/157,875.44
  6. Step 6: Final answer
    x = 119,040.37

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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.