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Finding the Fourth Proportional to 208,292.64, 287,443.11 and 112,799.58

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Solution

The fourth proportional to 208,292.64, 287,443.11 and 112,799.58 is: 155,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,292.64 : 287,443.11 = 112,799.58 : x
  2. Step 2: Convert to fraction form
    208,292.64/287,443.11 = 112,799.58/x
  3. Step 3: Cross multiply
    208,292.64x = 287,443.11 × 112,799.58
  4. Step 4: Simplify right side
    208,292.64x = 32,423,462,081.89
  5. Step 5: Solve for x
    x = 32,423,462,081.89/208,292.64
  6. Step 6: Final answer
    x = 155,663.02

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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.