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Finding the Fourth Proportional to 142,464.64, 213,630.78 and 52,484.56

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Solution

The fourth proportional to 142,464.64, 213,630.78 and 52,484.56 is: 78,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,464.64 : 213,630.78 = 52,484.56 : x
  2. Step 2: Convert to fraction form
    142,464.64/213,630.78 = 52,484.56/x
  3. Step 3: Cross multiply
    142,464.64x = 213,630.78 × 52,484.56
  4. Step 4: Simplify right side
    142,464.64x = 11,212,317,490.76
  5. Step 5: Solve for x
    x = 11,212,317,490.76/142,464.64
  6. Step 6: Final answer
    x = 78,702.46

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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.