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Finding the Fourth Proportional to 70,528, 105,796.32 and 21,280

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Solution

The fourth proportional to 70,528, 105,796.32 and 21,280 is: 31,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,528 : 105,796.32 = 21,280 : x
  2. Step 2: Convert to fraction form
    70,528/105,796.32 = 21,280/x
  3. Step 3: Cross multiply
    70,528x = 105,796.32 × 21,280
  4. Step 4: Simplify right side
    70,528x = 2,251,345,689.60
  5. Step 5: Solve for x
    x = 2,251,345,689.60/70,528
  6. Step 6: Final answer
    x = 31,921.30

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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.