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Finding the Fourth Proportional to 154,454.82, 213,084.30 and 93,976.98

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Solution

The fourth proportional to 154,454.82, 213,084.30 and 93,976.98 is: 129,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,454.82 : 213,084.30 = 93,976.98 : x
  2. Step 2: Convert to fraction form
    154,454.82/213,084.30 = 93,976.98/x
  3. Step 3: Cross multiply
    154,454.82x = 213,084.30 × 93,976.98
  4. Step 4: Simplify right side
    154,454.82x = 20,025,018,999.41
  5. Step 5: Solve for x
    x = 20,025,018,999.41/154,454.82
  6. Step 6: Final answer
    x = 129,649.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.