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Finding the Fourth Proportional to 138,934.40, 208,401.60 and 65,206.40

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Solution

The fourth proportional to 138,934.40, 208,401.60 and 65,206.40 is: 97,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,934.40 : 208,401.60 = 65,206.40 : x
  2. Step 2: Convert to fraction form
    138,934.40/208,401.60 = 65,206.40/x
  3. Step 3: Cross multiply
    138,934.40x = 208,401.60 × 65,206.40
  4. Step 4: Simplify right side
    138,934.40x = 13,589,118,090.24
  5. Step 5: Solve for x
    x = 13,589,118,090.24/138,934.40
  6. Step 6: Final answer
    x = 97,809.60

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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.