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Finding the Fourth Proportional to 153,203.51, 211,433.61 and 85,233.29

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Solution

The fourth proportional to 153,203.51, 211,433.61 and 85,233.29 is: 117,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,203.51 : 211,433.61 = 85,233.29 : x
  2. Step 2: Convert to fraction form
    153,203.51/211,433.61 = 85,233.29/x
  3. Step 3: Cross multiply
    153,203.51x = 211,433.61 × 85,233.29
  4. Step 4: Simplify right side
    153,203.51x = 18,021,181,139.71
  5. Step 5: Solve for x
    x = 18,021,181,139.71/153,203.51
  6. Step 6: Final answer
    x = 117,629.04

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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.