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Finding the Fourth Proportional to 51,431, 77,037.12 and 30,348.32

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Solution

The fourth proportional to 51,431, 77,037.12 and 30,348.32 is: 45,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,431 : 77,037.12 = 30,348.32 : x
  2. Step 2: Convert to fraction form
    51,431/77,037.12 = 30,348.32/x
  3. Step 3: Cross multiply
    51,431x = 77,037.12 × 30,348.32
  4. Step 4: Simplify right side
    51,431x = 2,337,947,169.64
  5. Step 5: Solve for x
    x = 2,337,947,169.64/51,431
  6. Step 6: Final answer
    x = 45,457.94

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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.