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Finding the Fourth Proportional to 52,645.84, 78,969.10 and 21,058.54

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Solution

The fourth proportional to 52,645.84, 78,969.10 and 21,058.54 is: 31,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,645.84 : 78,969.10 = 21,058.54 : x
  2. Step 2: Convert to fraction form
    52,645.84/78,969.10 = 21,058.54/x
  3. Step 3: Cross multiply
    52,645.84x = 78,969.10 × 21,058.54
  4. Step 4: Simplify right side
    52,645.84x = 1,662,973,951.11
  5. Step 5: Solve for x
    x = 1,662,973,951.11/52,645.84
  6. Step 6: Final answer
    x = 31,587.95

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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.