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Finding the Fourth Proportional to 199,411.82, 299,053.02 and 66,256.32

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Solution

The fourth proportional to 199,411.82, 299,053.02 and 66,256.32 is: 99,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411.82 : 299,053.02 = 66,256.32 : x
  2. Step 2: Convert to fraction form
    199,411.82/299,053.02 = 66,256.32/x
  3. Step 3: Cross multiply
    199,411.82x = 299,053.02 × 66,256.32
  4. Step 4: Simplify right side
    199,411.82x = 19,814,152,590.09
  5. Step 5: Solve for x
    x = 19,814,152,590.09/199,411.82
  6. Step 6: Final answer
    x = 99,362.98

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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.