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Finding the Fourth Proportional to 153,191.91, 211,256.41 and 102,206.72

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Solution

The fourth proportional to 153,191.91, 211,256.41 and 102,206.72 is: 140,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,191.91 : 211,256.41 = 102,206.72 : x
  2. Step 2: Convert to fraction form
    153,191.91/211,256.41 = 102,206.72/x
  3. Step 3: Cross multiply
    153,191.91x = 211,256.41 × 102,206.72
  4. Step 4: Simplify right side
    153,191.91x = 21,591,824,745.08
  5. Step 5: Solve for x
    x = 21,591,824,745.08/153,191.91
  6. Step 6: Final answer
    x = 140,946.25

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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.