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Finding the Fourth Proportional to 87,318, 120,498.84 and 47,574

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Solution

The fourth proportional to 87,318, 120,498.84 and 47,574 is: 65,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,318 : 120,498.84 = 47,574 : x
  2. Step 2: Convert to fraction form
    87,318/120,498.84 = 47,574/x
  3. Step 3: Cross multiply
    87,318x = 120,498.84 × 47,574
  4. Step 4: Simplify right side
    87,318x = 5,732,611,814.16
  5. Step 5: Solve for x
    x = 5,732,611,814.16/87,318
  6. Step 6: Final answer
    x = 65,652.12

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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.