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Finding the Fourth Proportional to 208,567.08, 312,850.51 and 75,444.39

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Solution

The fourth proportional to 208,567.08, 312,850.51 and 75,444.39 is: 113,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,567.08 : 312,850.51 = 75,444.39 : x
  2. Step 2: Convert to fraction form
    208,567.08/312,850.51 = 75,444.39/x
  3. Step 3: Cross multiply
    208,567.08x = 312,850.51 × 75,444.39
  4. Step 4: Simplify right side
    208,567.08x = 23,602,815,888.14
  5. Step 5: Solve for x
    x = 23,602,815,888.14/208,567.08
  6. Step 6: Final answer
    x = 113,166.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.