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Finding the Fourth Proportional to 211,753.13, 317,633.79 and 51,830.46

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Solution

The fourth proportional to 211,753.13, 317,633.79 and 51,830.46 is: 77,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,753.13 : 317,633.79 = 51,830.46 : x
  2. Step 2: Convert to fraction form
    211,753.13/317,633.79 = 51,830.46/x
  3. Step 3: Cross multiply
    211,753.13x = 317,633.79 × 51,830.46
  4. Step 4: Simplify right side
    211,753.13x = 16,463,106,630.74
  5. Step 5: Solve for x
    x = 16,463,106,630.74/211,753.13
  6. Step 6: Final answer
    x = 77,746.70

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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.