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Finding the Fourth Proportional to 157,890, 217,985.40 and 101,400.96

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Solution

The fourth proportional to 157,890, 217,985.40 and 101,400.96 is: 139,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,890 : 217,985.40 = 101,400.96 : x
  2. Step 2: Convert to fraction form
    157,890/217,985.40 = 101,400.96/x
  3. Step 3: Cross multiply
    157,890x = 217,985.40 × 101,400.96
  4. Step 4: Simplify right side
    157,890x = 22,103,928,825.98
  5. Step 5: Solve for x
    x = 22,103,928,825.98/157,890
  6. Step 6: Final answer
    x = 139,995.75

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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.