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Finding the Fourth Proportional to 73,973.76, 102,087 and 41,719.20

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Solution

The fourth proportional to 73,973.76, 102,087 and 41,719.20 is: 57,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,973.76 : 102,087 = 41,719.20 : x
  2. Step 2: Convert to fraction form
    73,973.76/102,087 = 41,719.20/x
  3. Step 3: Cross multiply
    73,973.76x = 102,087 × 41,719.20
  4. Step 4: Simplify right side
    73,973.76x = 4,258,987,970.40
  5. Step 5: Solve for x
    x = 4,258,987,970.40/73,973.76
  6. Step 6: Final answer
    x = 57,574.31

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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.