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Finding the Fourth Proportional to 51,468.60, 77,298 and 30,819

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Solution

The fourth proportional to 51,468.60, 77,298 and 30,819 is: 46,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,468.60 : 77,298 = 30,819 : x
  2. Step 2: Convert to fraction form
    51,468.60/77,298 = 30,819/x
  3. Step 3: Cross multiply
    51,468.60x = 77,298 × 30,819
  4. Step 4: Simplify right side
    51,468.60x = 2,382,247,062
  5. Step 5: Solve for x
    x = 2,382,247,062/51,468.60
  6. Step 6: Final answer
    x = 46,285.45

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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.