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Finding the Fourth Proportional to 153,250.17, 211,486.27 and 85,270

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Solution

The fourth proportional to 153,250.17, 211,486.27 and 85,270 is: 117,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,250.17 : 211,486.27 = 85,270 : x
  2. Step 2: Convert to fraction form
    153,250.17/211,486.27 = 85,270/x
  3. Step 3: Cross multiply
    153,250.17x = 211,486.27 × 85,270
  4. Step 4: Simplify right side
    153,250.17x = 18,033,434,242.90
  5. Step 5: Solve for x
    x = 18,033,434,242.90/153,250.17
  6. Step 6: Final answer
    x = 117,673.18

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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.