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Finding the Fourth Proportional to 142,856.66, 214,327.82 and 43,020.11

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Solution

The fourth proportional to 142,856.66, 214,327.82 and 43,020.11 is: 64,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,856.66 : 214,327.82 = 43,020.11 : x
  2. Step 2: Convert to fraction form
    142,856.66/214,327.82 = 43,020.11/x
  3. Step 3: Cross multiply
    142,856.66x = 214,327.82 × 43,020.11
  4. Step 4: Simplify right side
    142,856.66x = 9,220,407,035.83
  5. Step 5: Solve for x
    x = 9,220,407,035.83/142,856.66
  6. Step 6: Final answer
    x = 64,543.07

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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.