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Finding the Fourth Proportional to 52,042, 78,063 and 19,210

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Solution

The fourth proportional to 52,042, 78,063 and 19,210 is: 28,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042 : 78,063 = 19,210 : x
  2. Step 2: Convert to fraction form
    52,042/78,063 = 19,210/x
  3. Step 3: Cross multiply
    52,042x = 78,063 × 19,210
  4. Step 4: Simplify right side
    52,042x = 1,499,590,230
  5. Step 5: Solve for x
    x = 1,499,590,230/52,042
  6. Step 6: Final answer
    x = 28,815

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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.