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Finding the Fourth Proportional to 208,368.08, 287,546.80 and 112,876.64

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Solution

The fourth proportional to 208,368.08, 287,546.80 and 112,876.64 is: 155,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,368.08 : 287,546.80 = 112,876.64 : x
  2. Step 2: Convert to fraction form
    208,368.08/287,546.80 = 112,876.64/x
  3. Step 3: Cross multiply
    208,368.08x = 287,546.80 × 112,876.64
  4. Step 4: Simplify right side
    208,368.08x = 32,457,316,626.75
  5. Step 5: Solve for x
    x = 32,457,316,626.75/208,368.08
  6. Step 6: Final answer
    x = 155,769.14

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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.