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Finding the Fourth Proportional to 199,409.81, 299,050.02 and 66,254.32

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Solution

The fourth proportional to 199,409.81, 299,050.02 and 66,254.32 is: 99,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,409.81 : 299,050.02 = 66,254.32 : x
  2. Step 2: Convert to fraction form
    199,409.81/299,050.02 = 66,254.32/x
  3. Step 3: Cross multiply
    199,409.81x = 299,050.02 × 66,254.32
  4. Step 4: Simplify right side
    199,409.81x = 19,813,354,973.46
  5. Step 5: Solve for x
    x = 19,813,354,973.46/199,409.81
  6. Step 6: Final answer
    x = 99,359.98

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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.