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Finding the Fourth Proportional to 128,534.40, 192,830.40 and 49,641.60

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Solution

The fourth proportional to 128,534.40, 192,830.40 and 49,641.60 is: 74,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,534.40 : 192,830.40 = 49,641.60 : x
  2. Step 2: Convert to fraction form
    128,534.40/192,830.40 = 49,641.60/x
  3. Step 3: Cross multiply
    128,534.40x = 192,830.40 × 49,641.60
  4. Step 4: Simplify right side
    128,534.40x = 9,572,409,584.64
  5. Step 5: Solve for x
    x = 9,572,409,584.64/128,534.40
  6. Step 6: Final answer
    x = 74,473.52

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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.