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Finding the Fourth Proportional to 154,633, 213,393.54 and 87,577.96

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Solution

The fourth proportional to 154,633, 213,393.54 and 87,577.96 is: 120,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,633 : 213,393.54 = 87,577.96 : x
  2. Step 2: Convert to fraction form
    154,633/213,393.54 = 87,577.96/x
  3. Step 3: Cross multiply
    154,633x = 213,393.54 × 87,577.96
  4. Step 4: Simplify right side
    154,633x = 18,688,570,910.38
  5. Step 5: Solve for x
    x = 18,688,570,910.38/154,633
  6. Step 6: Final answer
    x = 120,857.58

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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.