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Finding the Fourth Proportional to 70,509, 105,767.82 and 21,261

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Solution

The fourth proportional to 70,509, 105,767.82 and 21,261 is: 31,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509 : 105,767.82 = 21,261 : x
  2. Step 2: Convert to fraction form
    70,509/105,767.82 = 21,261/x
  3. Step 3: Cross multiply
    70,509x = 105,767.82 × 21,261
  4. Step 4: Simplify right side
    70,509x = 2,248,729,621.02
  5. Step 5: Solve for x
    x = 2,248,729,621.02/70,509
  6. Step 6: Final answer
    x = 31,892.80

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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.