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Finding the Fourth Proportional to 113,869, 170,907.65 and 57,747.84

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Solution

The fourth proportional to 113,869, 170,907.65 and 57,747.84 is: 86,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,869 : 170,907.65 = 57,747.84 : x
  2. Step 2: Convert to fraction form
    113,869/170,907.65 = 57,747.84/x
  3. Step 3: Cross multiply
    113,869x = 170,907.65 × 57,747.84
  4. Step 4: Simplify right side
    113,869x = 9,869,547,626.98
  5. Step 5: Solve for x
    x = 9,869,547,626.98/113,869
  6. Step 6: Final answer
    x = 86,674.58

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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.