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Finding the Fourth Proportional to 52,866, 72,948.36 and 28,986.39

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Solution

The fourth proportional to 52,866, 72,948.36 and 28,986.39 is: 39,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866 : 72,948.36 = 28,986.39 : x
  2. Step 2: Convert to fraction form
    52,866/72,948.36 = 28,986.39/x
  3. Step 3: Cross multiply
    52,866x = 72,948.36 × 28,986.39
  4. Step 4: Simplify right side
    52,866x = 2,114,509,612.82
  5. Step 5: Solve for x
    x = 2,114,509,612.82/52,866
  6. Step 6: Final answer
    x = 39,997.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.