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Finding the Fourth Proportional to 70,465, 105,697.50 and 21,217

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Solution

The fourth proportional to 70,465, 105,697.50 and 21,217 is: 31,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,465 : 105,697.50 = 21,217 : x
  2. Step 2: Convert to fraction form
    70,465/105,697.50 = 21,217/x
  3. Step 3: Cross multiply
    70,465x = 105,697.50 × 21,217
  4. Step 4: Simplify right side
    70,465x = 2,242,583,857.50
  5. Step 5: Solve for x
    x = 2,242,583,857.50/70,465
  6. Step 6: Final answer
    x = 31,825.50

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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.