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Finding the Fourth Proportional to 195,432.40, 293,148.60 and 128,947.60

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Solution

The fourth proportional to 195,432.40, 293,148.60 and 128,947.60 is: 193,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,432.40 : 293,148.60 = 128,947.60 : x
  2. Step 2: Convert to fraction form
    195,432.40/293,148.60 = 128,947.60/x
  3. Step 3: Cross multiply
    195,432.40x = 293,148.60 × 128,947.60
  4. Step 4: Simplify right side
    195,432.40x = 37,800,808,413.36
  5. Step 5: Solve for x
    x = 37,800,808,413.36/195,432.40
  6. Step 6: Final answer
    x = 193,421.40

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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.