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Finding the Fourth Proportional to 208,507.50, 287,740.35 and 113,013.90

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Solution

The fourth proportional to 208,507.50, 287,740.35 and 113,013.90 is: 155,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507.50 : 287,740.35 = 113,013.90 : x
  2. Step 2: Convert to fraction form
    208,507.50/287,740.35 = 113,013.90/x
  3. Step 3: Cross multiply
    208,507.50x = 287,740.35 × 113,013.90
  4. Step 4: Simplify right side
    208,507.50x = 32,518,659,140.87
  5. Step 5: Solve for x
    x = 32,518,659,140.87/208,507.50
  6. Step 6: Final answer
    x = 155,959.18

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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.