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Finding the Fourth Proportional to 153,649.40, 211,960.80 and 102,674.66

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Solution

The fourth proportional to 153,649.40, 211,960.80 and 102,674.66 is: 141,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,649.40 : 211,960.80 = 102,674.66 : x
  2. Step 2: Convert to fraction form
    153,649.40/211,960.80 = 102,674.66/x
  3. Step 3: Cross multiply
    153,649.40x = 211,960.80 × 102,674.66
  4. Step 4: Simplify right side
    153,649.40x = 21,763,002,013.52
  5. Step 5: Solve for x
    x = 21,763,002,013.52/153,649.40
  6. Step 6: Final answer
    x = 141,640.66

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1.5x scale

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.