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Finding the Fourth Proportional to 51,841, 77,773.02 and 19,009

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Solution

The fourth proportional to 51,841, 77,773.02 and 19,009 is: 28,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,841 : 77,773.02 = 19,009 : x
  2. Step 2: Convert to fraction form
    51,841/77,773.02 = 19,009/x
  3. Step 3: Cross multiply
    51,841x = 77,773.02 × 19,009
  4. Step 4: Simplify right side
    51,841x = 1,478,387,337.18
  5. Step 5: Solve for x
    x = 1,478,387,337.18/51,841
  6. Step 6: Final answer
    x = 28,517.72

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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.