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Finding the Fourth Proportional to 208,322.66, 287,486.61 and 112,830.50

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Solution

The fourth proportional to 208,322.66, 287,486.61 and 112,830.50 is: 155,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,322.66 : 287,486.61 = 112,830.50 : x
  2. Step 2: Convert to fraction form
    208,322.66/287,486.61 = 112,830.50/x
  3. Step 3: Cross multiply
    208,322.66x = 287,486.61 × 112,830.50
  4. Step 4: Simplify right side
    208,322.66x = 32,437,257,949.61
  5. Step 5: Solve for x
    x = 32,437,257,949.61/208,322.66
  6. Step 6: Final answer
    x = 155,706.82

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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.