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Finding the Fourth Proportional to 142,477.96, 196,619.70 and 85,874.44

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Solution

The fourth proportional to 142,477.96, 196,619.70 and 85,874.44 is: 118,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,477.96 : 196,619.70 = 85,874.44 : x
  2. Step 2: Convert to fraction form
    142,477.96/196,619.70 = 85,874.44/x
  3. Step 3: Cross multiply
    142,477.96x = 196,619.70 × 85,874.44
  4. Step 4: Simplify right side
    142,477.96x = 16,884,606,630.47
  5. Step 5: Solve for x
    x = 16,884,606,630.47/142,477.96
  6. Step 6: Final answer
    x = 118,506.80

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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.