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Finding the Fourth Proportional to 140,557.50, 210,865.41 and 57,451.50

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Solution

The fourth proportional to 140,557.50, 210,865.41 and 57,451.50 is: 86,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,557.50 : 210,865.41 = 57,451.50 : x
  2. Step 2: Convert to fraction form
    140,557.50/210,865.41 = 57,451.50/x
  3. Step 3: Cross multiply
    140,557.50x = 210,865.41 × 57,451.50
  4. Step 4: Simplify right side
    140,557.50x = 12,114,534,102.62
  5. Step 5: Solve for x
    x = 12,114,534,102.62/140,557.50
  6. Step 6: Final answer
    x = 86,189.17

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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.