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Finding the Fourth Proportional to 208,364.45, 287,542.98 and 112,871.16

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Solution

The fourth proportional to 208,364.45, 287,542.98 and 112,871.16 is: 155,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,364.45 : 287,542.98 = 112,871.16 : x
  2. Step 2: Convert to fraction form
    208,364.45/287,542.98 = 112,871.16/x
  3. Step 3: Cross multiply
    208,364.45x = 287,542.98 × 112,871.16
  4. Step 4: Simplify right side
    208,364.45x = 32,455,309,702.46
  5. Step 5: Solve for x
    x = 32,455,309,702.46/208,364.45
  6. Step 6: Final answer
    x = 155,762.23

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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.