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Finding the Fourth Proportional to 52,543, 78,814.50 and 15,607

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Solution

The fourth proportional to 52,543, 78,814.50 and 15,607 is: 23,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,543 : 78,814.50 = 15,607 : x
  2. Step 2: Convert to fraction form
    52,543/78,814.50 = 15,607/x
  3. Step 3: Cross multiply
    52,543x = 78,814.50 × 15,607
  4. Step 4: Simplify right side
    52,543x = 1,230,057,901.50
  5. Step 5: Solve for x
    x = 1,230,057,901.50/52,543
  6. Step 6: Final answer
    x = 23,410.50

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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.