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Finding the Fourth Proportional to 208,635.32, 287,914.23 and 113,140.89

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Solution

The fourth proportional to 208,635.32, 287,914.23 and 113,140.89 is: 156,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,635.32 : 287,914.23 = 113,140.89 : x
  2. Step 2: Convert to fraction form
    208,635.32/287,914.23 = 113,140.89/x
  3. Step 3: Cross multiply
    208,635.32x = 287,914.23 × 113,140.89
  4. Step 4: Simplify right side
    208,635.32x = 32,574,872,225.86
  5. Step 5: Solve for x
    x = 32,574,872,225.86/208,635.32
  6. Step 6: Final answer
    x = 156,133.06

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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.