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Finding the Fourth Proportional to 208,485.78, 287,710.88 and 112,992.45

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Solution

The fourth proportional to 208,485.78, 287,710.88 and 112,992.45 is: 155,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,485.78 : 287,710.88 = 112,992.45 : x
  2. Step 2: Convert to fraction form
    208,485.78/287,710.88 = 112,992.45/x
  3. Step 3: Cross multiply
    208,485.78x = 287,710.88 × 112,992.45
  4. Step 4: Simplify right side
    208,485.78x = 32,509,156,657.89
  5. Step 5: Solve for x
    x = 32,509,156,657.89/208,485.78
  6. Step 6: Final answer
    x = 155,929.85

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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.