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Finding the Fourth Proportional to 156,923, 216,554.50 and 85,303

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Solution

The fourth proportional to 156,923, 216,554.50 and 85,303 is: 117,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,923 : 216,554.50 = 85,303 : x
  2. Step 2: Convert to fraction form
    156,923/216,554.50 = 85,303/x
  3. Step 3: Cross multiply
    156,923x = 216,554.50 × 85,303
  4. Step 4: Simplify right side
    156,923x = 18,472,748,513.50
  5. Step 5: Solve for x
    x = 18,472,748,513.50/156,923
  6. Step 6: Final answer
    x = 117,718.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.