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Finding the Fourth Proportional to 208,543.68, 287,787.60 and 113,050.08

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Solution

The fourth proportional to 208,543.68, 287,787.60 and 113,050.08 is: 156,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,543.68 : 287,787.60 = 113,050.08 : x
  2. Step 2: Convert to fraction form
    208,543.68/287,787.60 = 113,050.08/x
  3. Step 3: Cross multiply
    208,543.68x = 287,787.60 × 113,050.08
  4. Step 4: Simplify right side
    208,543.68x = 32,534,411,203.01
  5. Step 5: Solve for x
    x = 32,534,411,203.01/208,543.68
  6. Step 6: Final answer
    x = 156,007.66

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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.