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Finding the Fourth Proportional to 142,970.78, 214,382.93 and 75,539.01

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Solution

The fourth proportional to 142,970.78, 214,382.93 and 75,539.01 is: 113,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,970.78 : 214,382.93 = 75,539.01 : x
  2. Step 2: Convert to fraction form
    142,970.78/214,382.93 = 75,539.01/x
  3. Step 3: Cross multiply
    142,970.78x = 214,382.93 × 75,539.01
  4. Step 4: Simplify right side
    142,970.78x = 16,194,274,481.95
  5. Step 5: Solve for x
    x = 16,194,274,481.95/142,970.78
  6. Step 6: Final answer
    x = 113,269.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.