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Finding the Fourth Proportional to 208,492.78, 287,719.86 and 112,999.45

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Solution

The fourth proportional to 208,492.78, 287,719.86 and 112,999.45 is: 155,939.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,492.78 : 287,719.86 = 112,999.45 : x
  2. Step 2: Convert to fraction form
    208,492.78/287,719.86 = 112,999.45/x
  3. Step 3: Cross multiply
    208,492.78x = 287,719.86 × 112,999.45
  4. Step 4: Simplify right side
    208,492.78x = 32,512,185,934.08
  5. Step 5: Solve for x
    x = 32,512,185,934.08/208,492.78
  6. Step 6: Final answer
    x = 155,939.15

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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.