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Finding the Fourth Proportional to 199,655.49, 275,492.08 and 117,972.39

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Solution

The fourth proportional to 199,655.49, 275,492.08 and 117,972.39 is: 162,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,655.49 : 275,492.08 = 117,972.39 : x
  2. Step 2: Convert to fraction form
    199,655.49/275,492.08 = 117,972.39/x
  3. Step 3: Cross multiply
    199,655.49x = 275,492.08 × 117,972.39
  4. Step 4: Simplify right side
    199,655.49x = 32,500,457,726.21
  5. Step 5: Solve for x
    x = 32,500,457,726.21/199,655.49
  6. Step 6: Final answer
    x = 162,782.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.