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Finding the Fourth Proportional to 153,031.01, 211,182 and 84,122.08

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Solution

The fourth proportional to 153,031.01, 211,182 and 84,122.08 is: 116,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,031.01 : 211,182 = 84,122.08 : x
  2. Step 2: Convert to fraction form
    153,031.01/211,182 = 84,122.08/x
  3. Step 3: Cross multiply
    153,031.01x = 211,182 × 84,122.08
  4. Step 4: Simplify right side
    153,031.01x = 17,765,069,098.56
  5. Step 5: Solve for x
    x = 17,765,069,098.56/153,031.01
  6. Step 6: Final answer
    x = 116,088.03

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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.