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Finding the Fourth Proportional to 101,012.41, 151,570.56 and 77,471.20

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Solution

The fourth proportional to 101,012.41, 151,570.56 and 77,471.20 is: 116,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,012.41 : 151,570.56 = 77,471.20 : x
  2. Step 2: Convert to fraction form
    101,012.41/151,570.56 = 77,471.20/x
  3. Step 3: Cross multiply
    101,012.41x = 151,570.56 × 77,471.20
  4. Step 4: Simplify right side
    101,012.41x = 11,742,353,167.87
  5. Step 5: Solve for x
    x = 11,742,353,167.87/101,012.41
  6. Step 6: Final answer
    x = 116,246.64

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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.