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Finding the Fourth Proportional to 138,746.40, 208,119.60 and 68,762.40

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Solution

The fourth proportional to 138,746.40, 208,119.60 and 68,762.40 is: 103,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,746.40 : 208,119.60 = 68,762.40 : x
  2. Step 2: Convert to fraction form
    138,746.40/208,119.60 = 68,762.40/x
  3. Step 3: Cross multiply
    138,746.40x = 208,119.60 × 68,762.40
  4. Step 4: Simplify right side
    138,746.40x = 14,310,803,183.04
  5. Step 5: Solve for x
    x = 14,310,803,183.04/138,746.40
  6. Step 6: Final answer
    x = 103,143.60

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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.