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Finding the Fourth Proportional to 142,368.82, 213,941.22 and 75,856.48

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Solution

The fourth proportional to 142,368.82, 213,941.22 and 75,856.48 is: 113,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,368.82 : 213,941.22 = 75,856.48 : x
  2. Step 2: Convert to fraction form
    142,368.82/213,941.22 = 75,856.48/x
  3. Step 3: Cross multiply
    142,368.82x = 213,941.22 × 75,856.48
  4. Step 4: Simplify right side
    142,368.82x = 16,228,827,876.11
  5. Step 5: Solve for x
    x = 16,228,827,876.11/142,368.82
  6. Step 6: Final answer
    x = 113,991.45

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1.5x scale

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.