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Finding the Fourth Proportional to 138,701.81, 208,118.53 and 96,072.79

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Solution

The fourth proportional to 138,701.81, 208,118.53 and 96,072.79 is: 144,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,701.81 : 208,118.53 = 96,072.79 : x
  2. Step 2: Convert to fraction form
    138,701.81/208,118.53 = 96,072.79/x
  3. Step 3: Cross multiply
    138,701.81x = 208,118.53 × 96,072.79
  4. Step 4: Simplify right side
    138,701.81x = 19,994,527,827.80
  5. Step 5: Solve for x
    x = 19,994,527,827.80/138,701.81
  6. Step 6: Final answer
    x = 144,154.77

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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.