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Finding the Fourth Proportional to 140,430.60, 210,645.90 and 56,231.10

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Solution

The fourth proportional to 140,430.60, 210,645.90 and 56,231.10 is: 84,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,430.60 : 210,645.90 = 56,231.10 : x
  2. Step 2: Convert to fraction form
    140,430.60/210,645.90 = 56,231.10/x
  3. Step 3: Cross multiply
    140,430.60x = 210,645.90 × 56,231.10
  4. Step 4: Simplify right side
    140,430.60x = 11,844,850,667.49
  5. Step 5: Solve for x
    x = 11,844,850,667.49/140,430.60
  6. Step 6: Final answer
    x = 84,346.65

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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.