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Finding the Fourth Proportional to 199,857.68, 299,782.32 and 64,921.64

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Solution

The fourth proportional to 199,857.68, 299,782.32 and 64,921.64 is: 97,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,857.68 : 299,782.32 = 64,921.64 : x
  2. Step 2: Convert to fraction form
    199,857.68/299,782.32 = 64,921.64/x
  3. Step 3: Cross multiply
    199,857.68x = 299,782.32 × 64,921.64
  4. Step 4: Simplify right side
    199,857.68x = 19,462,359,857.40
  5. Step 5: Solve for x
    x = 19,462,359,857.40/199,857.68
  6. Step 6: Final answer
    x = 97,381.10

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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.