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Finding the Fourth Proportional to 43,516, 65,264.85 and 21,307

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Solution

The fourth proportional to 43,516, 65,264.85 and 21,307 is: 31,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,516 : 65,264.85 = 21,307 : x
  2. Step 2: Convert to fraction form
    43,516/65,264.85 = 21,307/x
  3. Step 3: Cross multiply
    43,516x = 65,264.85 × 21,307
  4. Step 4: Simplify right side
    43,516x = 1,390,598,158.95
  5. Step 5: Solve for x
    x = 1,390,598,158.95/43,516
  6. Step 6: Final answer
    x = 31,956.02

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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.