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Finding the Fourth Proportional to 154,889.76, 213,746.88 and 85,978.48

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Solution

The fourth proportional to 154,889.76, 213,746.88 and 85,978.48 is: 118,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,889.76 : 213,746.88 = 85,978.48 : x
  2. Step 2: Convert to fraction form
    154,889.76/213,746.88 = 85,978.48/x
  3. Step 3: Cross multiply
    154,889.76x = 213,746.88 × 85,978.48
  4. Step 4: Simplify right side
    154,889.76x = 18,377,631,847.14
  5. Step 5: Solve for x
    x = 18,377,631,847.14/154,889.76
  6. Step 6: Final answer
    x = 118,649.75

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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.