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Finding the Fourth Proportional to 208,492.44, 287,720.02 and 112,999.11

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Solution

The fourth proportional to 208,492.44, 287,720.02 and 112,999.11 is: 155,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,492.44 : 287,720.02 = 112,999.11 : x
  2. Step 2: Convert to fraction form
    208,492.44/287,720.02 = 112,999.11/x
  3. Step 3: Cross multiply
    208,492.44x = 287,720.02 × 112,999.11
  4. Step 4: Simplify right side
    208,492.44x = 32,512,106,189.18
  5. Step 5: Solve for x
    x = 32,512,106,189.18/208,492.44
  6. Step 6: Final answer
    x = 155,939.02

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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.