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Finding the Fourth Proportional to 251,830.60, 377,665.74 and 83,319.40

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Solution

The fourth proportional to 251,830.60, 377,665.74 and 83,319.40 is: 124,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,830.60 : 377,665.74 = 83,319.40 : x
  2. Step 2: Convert to fraction form
    251,830.60/377,665.74 = 83,319.40/x
  3. Step 3: Cross multiply
    251,830.60x = 377,665.74 × 83,319.40
  4. Step 4: Simplify right side
    251,830.60x = 31,466,882,857.36
  5. Step 5: Solve for x
    x = 31,466,882,857.36/251,830.60
  6. Step 6: Final answer
    x = 124,952.58

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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.