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Finding the Fourth Proportional to 70,926, 106,389.32 and 21,007

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Solution

The fourth proportional to 70,926, 106,389.32 and 21,007 is: 31,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,926 : 106,389.32 = 21,007 : x
  2. Step 2: Convert to fraction form
    70,926/106,389.32 = 21,007/x
  3. Step 3: Cross multiply
    70,926x = 106,389.32 × 21,007
  4. Step 4: Simplify right side
    70,926x = 2,234,920,445.24
  5. Step 5: Solve for x
    x = 2,234,920,445.24/70,926
  6. Step 6: Final answer
    x = 31,510.59

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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.