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Finding the Fourth Proportional to 208,359.24, 287,537.10 and 112,865.90

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Solution

The fourth proportional to 208,359.24, 287,537.10 and 112,865.90 is: 155,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,359.24 : 287,537.10 = 112,865.90 : x
  2. Step 2: Convert to fraction form
    208,359.24/287,537.10 = 112,865.90/x
  3. Step 3: Cross multiply
    208,359.24x = 287,537.10 × 112,865.90
  4. Step 4: Simplify right side
    208,359.24x = 32,453,133,574.89
  5. Step 5: Solve for x
    x = 32,453,133,574.89/208,359.24
  6. Step 6: Final answer
    x = 155,755.67

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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.