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Finding the Fourth Proportional to 142,806.60, 214,005.10 and 105,072.20

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Solution

The fourth proportional to 142,806.60, 214,005.10 and 105,072.20 is: 157,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,806.60 : 214,005.10 = 105,072.20 : x
  2. Step 2: Convert to fraction form
    142,806.60/214,005.10 = 105,072.20/x
  3. Step 3: Cross multiply
    142,806.60x = 214,005.10 × 105,072.20
  4. Step 4: Simplify right side
    142,806.60x = 22,485,986,668.22
  5. Step 5: Solve for x
    x = 22,485,986,668.22/142,806.60
  6. Step 6: Final answer
    x = 157,457.62

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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.