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Finding the Fourth Proportional to 142,349.22, 196,441.98 and 78,687

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Solution

The fourth proportional to 142,349.22, 196,441.98 and 78,687 is: 108,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,349.22 : 196,441.98 = 78,687 : x
  2. Step 2: Convert to fraction form
    142,349.22/196,441.98 = 78,687/x
  3. Step 3: Cross multiply
    142,349.22x = 196,441.98 × 78,687
  4. Step 4: Simplify right side
    142,349.22x = 15,457,430,080.26
  5. Step 5: Solve for x
    x = 15,457,430,080.26/142,349.22
  6. Step 6: Final answer
    x = 108,588.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.