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Finding the Fourth Proportional to 157,985.31, 218,019.52 and 85,388.12

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Solution

The fourth proportional to 157,985.31, 218,019.52 and 85,388.12 is: 117,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,985.31 : 218,019.52 = 85,388.12 : x
  2. Step 2: Convert to fraction form
    157,985.31/218,019.52 = 85,388.12/x
  3. Step 3: Cross multiply
    157,985.31x = 218,019.52 × 85,388.12
  4. Step 4: Simplify right side
    157,985.31x = 18,616,275,632.53
  5. Step 5: Solve for x
    x = 18,616,275,632.53/157,985.31
  6. Step 6: Final answer
    x = 117,835.49

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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.