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Finding the Fourth Proportional to 211,223.90, 316,768.86 and 69,037.02

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Solution

The fourth proportional to 211,223.90, 316,768.86 and 69,037.02 is: 103,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,223.90 : 316,768.86 = 69,037.02 : x
  2. Step 2: Convert to fraction form
    211,223.90/316,768.86 = 69,037.02/x
  3. Step 3: Cross multiply
    211,223.90x = 316,768.86 × 69,037.02
  4. Step 4: Simplify right side
    211,223.90x = 21,868,778,123.20
  5. Step 5: Solve for x
    x = 21,868,778,123.20/211,223.90
  6. Step 6: Final answer
    x = 103,533.63

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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.