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Finding the Fourth Proportional to 153,369, 211,649.22 and 86,302.44

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Solution

The fourth proportional to 153,369, 211,649.22 and 86,302.44 is: 119,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,369 : 211,649.22 = 86,302.44 : x
  2. Step 2: Convert to fraction form
    153,369/211,649.22 = 86,302.44/x
  3. Step 3: Cross multiply
    153,369x = 211,649.22 × 86,302.44
  4. Step 4: Simplify right side
    153,369x = 18,265,844,110.10
  5. Step 5: Solve for x
    x = 18,265,844,110.10/153,369
  6. Step 6: Final answer
    x = 119,097.37

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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.