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Finding the Fourth Proportional to 208,153.76, 287,252.18 and 112,661.24

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Solution

The fourth proportional to 208,153.76, 287,252.18 and 112,661.24 is: 155,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,153.76 : 287,252.18 = 112,661.24 : x
  2. Step 2: Convert to fraction form
    208,153.76/287,252.18 = 112,661.24/x
  3. Step 3: Cross multiply
    208,153.76x = 287,252.18 × 112,661.24
  4. Step 4: Simplify right side
    208,153.76x = 32,362,186,791.50
  5. Step 5: Solve for x
    x = 32,362,186,791.50/208,153.76
  6. Step 6: Final answer
    x = 155,472.51

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1.5x scale

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.