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Finding the Fourth Proportional to 153,119.95, 211,301.59 and 85,133.41

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Solution

The fourth proportional to 153,119.95, 211,301.59 and 85,133.41 is: 117,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,119.95 : 211,301.59 = 85,133.41 : x
  2. Step 2: Convert to fraction form
    153,119.95/211,301.59 = 85,133.41/x
  3. Step 3: Cross multiply
    153,119.95x = 211,301.59 × 85,133.41
  4. Step 4: Simplify right side
    153,119.95x = 17,988,824,895.12
  5. Step 5: Solve for x
    x = 17,988,824,895.12/153,119.95
  6. Step 6: Final answer
    x = 117,481.91

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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.