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Finding the Fourth Proportional to 138,931.84, 208,351.04 and 45,415.68

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Solution

The fourth proportional to 138,931.84, 208,351.04 and 45,415.68 is: 68,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,931.84 : 208,351.04 = 45,415.68 : x
  2. Step 2: Convert to fraction form
    138,931.84/208,351.04 = 45,415.68/x
  3. Step 3: Cross multiply
    138,931.84x = 208,351.04 × 45,415.68
  4. Step 4: Simplify right side
    138,931.84x = 9,462,404,160.31
  5. Step 5: Solve for x
    x = 9,462,404,160.31/138,931.84
  6. Step 6: Final answer
    x = 68,108.25

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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.