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Finding the Fourth Proportional to 199,574.34, 299,409.35 and 66,455.80

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Solution

The fourth proportional to 199,574.34, 299,409.35 and 66,455.80 is: 99,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,574.34 : 299,409.35 = 66,455.80 : x
  2. Step 2: Convert to fraction form
    199,574.34/299,409.35 = 66,455.80/x
  3. Step 3: Cross multiply
    199,574.34x = 299,409.35 × 66,455.80
  4. Step 4: Simplify right side
    199,574.34x = 19,897,487,881.73
  5. Step 5: Solve for x
    x = 19,897,487,881.73/199,574.34
  6. Step 6: Final answer
    x = 99,699.63

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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.