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Finding the Fourth Proportional to 142,051.53, 213,068.97 and 53,297.64

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Solution

The fourth proportional to 142,051.53, 213,068.97 and 53,297.64 is: 79,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,051.53 : 213,068.97 = 53,297.64 : x
  2. Step 2: Convert to fraction form
    142,051.53/213,068.97 = 53,297.64/x
  3. Step 3: Cross multiply
    142,051.53x = 213,068.97 × 53,297.64
  4. Step 4: Simplify right side
    142,051.53x = 11,356,073,258.23
  5. Step 5: Solve for x
    x = 11,356,073,258.23/142,051.53
  6. Step 6: Final answer
    x = 79,943.34

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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.