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Finding the Fourth Proportional to 234,574.89, 323,705.48 and 139,024.86

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Solution

The fourth proportional to 234,574.89, 323,705.48 and 139,024.86 is: 191,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,574.89 : 323,705.48 = 139,024.86 : x
  2. Step 2: Convert to fraction form
    234,574.89/323,705.48 = 139,024.86/x
  3. Step 3: Cross multiply
    234,574.89x = 323,705.48 × 139,024.86
  4. Step 4: Simplify right side
    234,574.89x = 45,003,108,343.11
  5. Step 5: Solve for x
    x = 45,003,108,343.11/234,574.89
  6. Step 6: Final answer
    x = 191,849.64

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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.