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Finding the Fourth Proportional to 157,969.72, 217,994.34 and 86,347.72

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Solution

The fourth proportional to 157,969.72, 217,994.34 and 86,347.72 is: 119,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,969.72 : 217,994.34 = 86,347.72 : x
  2. Step 2: Convert to fraction form
    157,969.72/217,994.34 = 86,347.72/x
  3. Step 3: Cross multiply
    157,969.72x = 217,994.34 × 86,347.72
  4. Step 4: Simplify right side
    157,969.72x = 18,823,314,231.90
  5. Step 5: Solve for x
    x = 18,823,314,231.90/157,969.72
  6. Step 6: Final answer
    x = 119,157.74

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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.