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Finding the Fourth Proportional to 42,970.73, 64,457.84 and 20,469.84

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Solution

The fourth proportional to 42,970.73, 64,457.84 and 20,469.84 is: 30,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,970.73 : 64,457.84 = 20,469.84 : x
  2. Step 2: Convert to fraction form
    42,970.73/64,457.84 = 20,469.84/x
  3. Step 3: Cross multiply
    42,970.73x = 64,457.84 × 20,469.84
  4. Step 4: Simplify right side
    42,970.73x = 1,319,441,246.91
  5. Step 5: Solve for x
    x = 1,319,441,246.91/42,970.73
  6. Step 6: Final answer
    x = 30,705.58

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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.