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Finding the Fourth Proportional to 52,643.78, 78,970.74 and 21,046.30

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Solution

The fourth proportional to 52,643.78, 78,970.74 and 21,046.30 is: 31,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.78 : 78,970.74 = 21,046.30 : x
  2. Step 2: Convert to fraction form
    52,643.78/78,970.74 = 21,046.30/x
  3. Step 3: Cross multiply
    52,643.78x = 78,970.74 × 21,046.30
  4. Step 4: Simplify right side
    52,643.78x = 1,662,041,885.26
  5. Step 5: Solve for x
    x = 1,662,041,885.26/52,643.78
  6. Step 6: Final answer
    x = 31,571.48

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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.