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Finding the Fourth Proportional to 210,102, 315,155.75 and 69,860.63

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Solution

The fourth proportional to 210,102, 315,155.75 and 69,860.63 is: 104,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,102 : 315,155.75 = 69,860.63 : x
  2. Step 2: Convert to fraction form
    210,102/315,155.75 = 69,860.63/x
  3. Step 3: Cross multiply
    210,102x = 315,155.75 × 69,860.63
  4. Step 4: Simplify right side
    210,102x = 22,016,977,318.04
  5. Step 5: Solve for x
    x = 22,016,977,318.04/210,102
  6. Step 6: Final answer
    x = 104,791.85

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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.