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Finding the Fourth Proportional to 208,359.66, 287,535.30 and 112,866.50

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Solution

The fourth proportional to 208,359.66, 287,535.30 and 112,866.50 is: 155,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,359.66 : 287,535.30 = 112,866.50 : x
  2. Step 2: Convert to fraction form
    208,359.66/287,535.30 = 112,866.50/x
  3. Step 3: Cross multiply
    208,359.66x = 287,535.30 × 112,866.50
  4. Step 4: Simplify right side
    208,359.66x = 32,453,102,937.45
  5. Step 5: Solve for x
    x = 32,453,102,937.45/208,359.66
  6. Step 6: Final answer
    x = 155,755.21

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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.