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Finding the Fourth Proportional to 70,693, 106,039.50 and 21,445

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Solution

The fourth proportional to 70,693, 106,039.50 and 21,445 is: 32,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,693 : 106,039.50 = 21,445 : x
  2. Step 2: Convert to fraction form
    70,693/106,039.50 = 21,445/x
  3. Step 3: Cross multiply
    70,693x = 106,039.50 × 21,445
  4. Step 4: Simplify right side
    70,693x = 2,274,017,077.50
  5. Step 5: Solve for x
    x = 2,274,017,077.50/70,693
  6. Step 6: Final answer
    x = 32,167.50

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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.