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Finding the Fourth Proportional to 43,521, 65,272.34 and 21,312

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Solution

The fourth proportional to 43,521, 65,272.34 and 21,312 is: 31,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,521 : 65,272.34 = 21,312 : x
  2. Step 2: Convert to fraction form
    43,521/65,272.34 = 21,312/x
  3. Step 3: Cross multiply
    43,521x = 65,272.34 × 21,312
  4. Step 4: Simplify right side
    43,521x = 1,391,084,110.08
  5. Step 5: Solve for x
    x = 1,391,084,110.08/43,521
  6. Step 6: Final answer
    x = 31,963.51

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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.