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Finding the Fourth Proportional to 142,743.60, 213,910.60 and 105,009.20

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Solution

The fourth proportional to 142,743.60, 213,910.60 and 105,009.20 is: 157,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,743.60 : 213,910.60 = 105,009.20 : x
  2. Step 2: Convert to fraction form
    142,743.60/213,910.60 = 105,009.20/x
  3. Step 3: Cross multiply
    142,743.60x = 213,910.60 × 105,009.20
  4. Step 4: Simplify right side
    142,743.60x = 22,462,580,977.52
  5. Step 5: Solve for x
    x = 22,462,580,977.52/142,743.60
  6. Step 6: Final answer
    x = 157,363.14

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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.