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Finding the Fourth Proportional to 208,091, 312,062.70 and 74,935.52

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Solution

The fourth proportional to 208,091, 312,062.70 and 74,935.52 is: 112,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,091 : 312,062.70 = 74,935.52 : x
  2. Step 2: Convert to fraction form
    208,091/312,062.70 = 74,935.52/x
  3. Step 3: Cross multiply
    208,091x = 312,062.70 × 74,935.52
  4. Step 4: Simplify right side
    208,091x = 23,384,580,697.10
  5. Step 5: Solve for x
    x = 23,384,580,697.10/208,091
  6. Step 6: Final answer
    x = 112,376.70

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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.