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Finding the Fourth Proportional to 208,341.76, 287,511.64 and 112,848.49

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Solution

The fourth proportional to 208,341.76, 287,511.64 and 112,848.49 is: 155,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,341.76 : 287,511.64 = 112,848.49 : x
  2. Step 2: Convert to fraction form
    208,341.76/287,511.64 = 112,848.49/x
  3. Step 3: Cross multiply
    208,341.76x = 287,511.64 × 112,848.49
  4. Step 4: Simplify right side
    208,341.76x = 32,445,252,993.87
  5. Step 5: Solve for x
    x = 32,445,252,993.87/208,341.76
  6. Step 6: Final answer
    x = 155,730.92

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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.