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Finding the Fourth Proportional to 162,287.64, 243,431.46 and 51,471

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Solution

The fourth proportional to 162,287.64, 243,431.46 and 51,471 is: 77,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,287.64 : 243,431.46 = 51,471 : x
  2. Step 2: Convert to fraction form
    162,287.64/243,431.46 = 51,471/x
  3. Step 3: Cross multiply
    162,287.64x = 243,431.46 × 51,471
  4. Step 4: Simplify right side
    162,287.64x = 12,529,660,677.66
  5. Step 5: Solve for x
    x = 12,529,660,677.66/162,287.64
  6. Step 6: Final answer
    x = 77,206.50

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1.5x scale

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.