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Finding the Fourth Proportional to 103,611.54, 142,978.70 and 61,161.86

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Solution

The fourth proportional to 103,611.54, 142,978.70 and 61,161.86 is: 84,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611.54 : 142,978.70 = 61,161.86 : x
  2. Step 2: Convert to fraction form
    103,611.54/142,978.70 = 61,161.86/x
  3. Step 3: Cross multiply
    103,611.54x = 142,978.70 × 61,161.86
  4. Step 4: Simplify right side
    103,611.54x = 8,744,843,232.38
  5. Step 5: Solve for x
    x = 8,744,843,232.38/103,611.54
  6. Step 6: Final answer
    x = 84,400.28

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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.