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Finding the Fourth Proportional to 140,411.40, 210,617.10 and 128,601.60

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Solution

The fourth proportional to 140,411.40, 210,617.10 and 128,601.60 is: 192,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,411.40 : 210,617.10 = 128,601.60 : x
  2. Step 2: Convert to fraction form
    140,411.40/210,617.10 = 128,601.60/x
  3. Step 3: Cross multiply
    140,411.40x = 210,617.10 × 128,601.60
  4. Step 4: Simplify right side
    140,411.40x = 27,085,696,047.36
  5. Step 5: Solve for x
    x = 27,085,696,047.36/140,411.40
  6. Step 6: Final answer
    x = 192,902.40

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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.