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Finding the Fourth Proportional to 52,622, 78,946.68 and 15,686

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Solution

The fourth proportional to 52,622, 78,946.68 and 15,686 is: 23,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,622 : 78,946.68 = 15,686 : x
  2. Step 2: Convert to fraction form
    52,622/78,946.68 = 15,686/x
  3. Step 3: Cross multiply
    52,622x = 78,946.68 × 15,686
  4. Step 4: Simplify right side
    52,622x = 1,238,357,622.48
  5. Step 5: Solve for x
    x = 1,238,357,622.48/52,622
  6. Step 6: Final answer
    x = 23,533.08

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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.