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Finding the Fourth Proportional to 142,071.36, 213,051.24 and 53,276.46

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Solution

The fourth proportional to 142,071.36, 213,051.24 and 53,276.46 is: 79,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,071.36 : 213,051.24 = 53,276.46 : x
  2. Step 2: Convert to fraction form
    142,071.36/213,051.24 = 53,276.46/x
  3. Step 3: Cross multiply
    142,071.36x = 213,051.24 × 53,276.46
  4. Step 4: Simplify right side
    142,071.36x = 11,350,615,865.81
  5. Step 5: Solve for x
    x = 11,350,615,865.81/142,071.36
  6. Step 6: Final answer
    x = 79,893.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.