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Finding the Fourth Proportional to 245,996.81, 339,430.50 and 138,543.83

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Solution

The fourth proportional to 245,996.81, 339,430.50 and 138,543.83 is: 191,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,996.81 : 339,430.50 = 138,543.83 : x
  2. Step 2: Convert to fraction form
    245,996.81/339,430.50 = 138,543.83/x
  3. Step 3: Cross multiply
    245,996.81x = 339,430.50 × 138,543.83
  4. Step 4: Simplify right side
    245,996.81x = 47,025,999,791.66
  5. Step 5: Solve for x
    x = 47,025,999,791.66/245,996.81
  6. Step 6: Final answer
    x = 191,165.08

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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.