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Finding the Fourth Proportional to 138,903.93, 208,283.94 and 67,829.81

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Solution

The fourth proportional to 138,903.93, 208,283.94 and 67,829.81 is: 101,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,903.93 : 208,283.94 = 67,829.81 : x
  2. Step 2: Convert to fraction form
    138,903.93/208,283.94 = 67,829.81/x
  3. Step 3: Cross multiply
    138,903.93x = 208,283.94 × 67,829.81
  4. Step 4: Simplify right side
    138,903.93x = 14,127,859,034.83
  5. Step 5: Solve for x
    x = 14,127,859,034.83/138,903.93
  6. Step 6: Final answer
    x = 101,709.57

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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.