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Finding the Fourth Proportional to 73,973.76, 102,078.26 and 42,136.44

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Solution

The fourth proportional to 73,973.76, 102,078.26 and 42,136.44 is: 58,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,973.76 : 102,078.26 = 42,136.44 : x
  2. Step 2: Convert to fraction form
    73,973.76/102,078.26 = 42,136.44/x
  3. Step 3: Cross multiply
    73,973.76x = 102,078.26 × 42,136.44
  4. Step 4: Simplify right side
    73,973.76x = 4,301,214,477.79
  5. Step 5: Solve for x
    x = 4,301,214,477.79/73,973.76
  6. Step 6: Final answer
    x = 58,145.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.