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Finding the Fourth Proportional to 128,702.40, 193,082.40 and 49,809.60

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Solution

The fourth proportional to 128,702.40, 193,082.40 and 49,809.60 is: 74,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,702.40 : 193,082.40 = 49,809.60 : x
  2. Step 2: Convert to fraction form
    128,702.40/193,082.40 = 49,809.60/x
  3. Step 3: Cross multiply
    128,702.40x = 193,082.40 × 49,809.60
  4. Step 4: Simplify right side
    128,702.40x = 9,617,357,111.04
  5. Step 5: Solve for x
    x = 9,617,357,111.04/128,702.40
  6. Step 6: Final answer
    x = 74,725.55

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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.