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Finding the Fourth Proportional to 138,433.95, 207,699.11 and 43,678.76

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Solution

The fourth proportional to 138,433.95, 207,699.11 and 43,678.76 is: 65,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,433.95 : 207,699.11 = 43,678.76 : x
  2. Step 2: Convert to fraction form
    138,433.95/207,699.11 = 43,678.76/x
  3. Step 3: Cross multiply
    138,433.95x = 207,699.11 × 43,678.76
  4. Step 4: Simplify right side
    138,433.95x = 9,072,038,321.01
  5. Step 5: Solve for x
    x = 9,072,038,321.01/138,433.95
  6. Step 6: Final answer
    x = 65,533.33

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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.