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Finding the Fourth Proportional to 208,070.18, 287,055.15 and 120,840.43

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Solution

The fourth proportional to 208,070.18, 287,055.15 and 120,840.43 is: 166,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,070.18 : 287,055.15 = 120,840.43 : x
  2. Step 2: Convert to fraction form
    208,070.18/287,055.15 = 120,840.43/x
  3. Step 3: Cross multiply
    208,070.18x = 287,055.15 × 120,840.43
  4. Step 4: Simplify right side
    208,070.18x = 34,687,867,891.96
  5. Step 5: Solve for x
    x = 34,687,867,891.96/208,070.18
  6. Step 6: Final answer
    x = 166,712.35

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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.