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Finding the Fourth Proportional to 210,096, 315,146.75 and 69,854.63

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Solution

The fourth proportional to 210,096, 315,146.75 and 69,854.63 is: 104,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,096 : 315,146.75 = 69,854.63 : x
  2. Step 2: Convert to fraction form
    210,096/315,146.75 = 69,854.63/x
  3. Step 3: Cross multiply
    210,096x = 315,146.75 × 69,854.63
  4. Step 4: Simplify right side
    210,096x = 22,014,457,691.95
  5. Step 5: Solve for x
    x = 22,014,457,691.95/210,096
  6. Step 6: Final answer
    x = 104,782.85

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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.