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Finding the Fourth Proportional to 199,905.24, 299,673.32 and 99,978.48

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Solution

The fourth proportional to 199,905.24, 299,673.32 and 99,978.48 is: 149,875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,905.24 : 299,673.32 = 99,978.48 : x
  2. Step 2: Convert to fraction form
    199,905.24/299,673.32 = 99,978.48/x
  3. Step 3: Cross multiply
    199,905.24x = 299,673.32 × 99,978.48
  4. Step 4: Simplify right side
    199,905.24x = 29,960,883,030.15
  5. Step 5: Solve for x
    x = 29,960,883,030.15/199,905.24
  6. Step 6: Final answer
    x = 149,875.43

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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.