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Finding the Fourth Proportional to 199,903.50, 299,855.30 and 52,159.50

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Solution

The fourth proportional to 199,903.50, 299,855.30 and 52,159.50 is: 78,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,903.50 : 299,855.30 = 52,159.50 : x
  2. Step 2: Convert to fraction form
    199,903.50/299,855.30 = 52,159.50/x
  3. Step 3: Cross multiply
    199,903.50x = 299,855.30 × 52,159.50
  4. Step 4: Simplify right side
    199,903.50x = 15,640,302,259.55
  5. Step 5: Solve for x
    x = 15,640,302,259.55/199,903.50
  6. Step 6: Final answer
    x = 78,239.26

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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.