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Finding the Fourth Proportional to 147,457.09, 221,149 and 63,207.70

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Solution

The fourth proportional to 147,457.09, 221,149 and 63,207.70 is: 94,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,457.09 : 221,149 = 63,207.70 : x
  2. Step 2: Convert to fraction form
    147,457.09/221,149 = 63,207.70/x
  3. Step 3: Cross multiply
    147,457.09x = 221,149 × 63,207.70
  4. Step 4: Simplify right side
    147,457.09x = 13,978,319,647.30
  5. Step 5: Solve for x
    x = 13,978,319,647.30/147,457.09
  6. Step 6: Final answer
    x = 94,795.85

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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.