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Finding the Fourth Proportional to 101,342.90, 151,970.61 and 31,206.62

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Solution

The fourth proportional to 101,342.90, 151,970.61 and 31,206.62 is: 46,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,342.90 : 151,970.61 = 31,206.62 : x
  2. Step 2: Convert to fraction form
    101,342.90/151,970.61 = 31,206.62/x
  3. Step 3: Cross multiply
    101,342.90x = 151,970.61 × 31,206.62
  4. Step 4: Simplify right side
    101,342.90x = 4,742,489,077.44
  5. Step 5: Solve for x
    x = 4,742,489,077.44/101,342.90
  6. Step 6: Final answer
    x = 46,796.46

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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.