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Finding the Fourth Proportional to 19,953.81, 29,949.18 and 10,100.01

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Solution

The fourth proportional to 19,953.81, 29,949.18 and 10,100.01 is: 15,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,953.81 : 29,949.18 = 10,100.01 : x
  2. Step 2: Convert to fraction form
    19,953.81/29,949.18 = 10,100.01/x
  3. Step 3: Cross multiply
    19,953.81x = 29,949.18 × 10,100.01
  4. Step 4: Simplify right side
    19,953.81x = 302,487,017.49
  5. Step 5: Solve for x
    x = 302,487,017.49/19,953.81
  6. Step 6: Final answer
    x = 15,159.36

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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.