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Finding the Fourth Proportional to 153,013.10, 211,153.84 and 85,028.31

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Solution

The fourth proportional to 153,013.10, 211,153.84 and 85,028.31 is: 117,336.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,013.10 : 211,153.84 = 85,028.31 : x
  2. Step 2: Convert to fraction form
    153,013.10/211,153.84 = 85,028.31/x
  3. Step 3: Cross multiply
    153,013.10x = 211,153.84 × 85,028.31
  4. Step 4: Simplify right side
    153,013.10x = 17,954,054,165.21
  5. Step 5: Solve for x
    x = 17,954,054,165.21/153,013.10
  6. Step 6: Final answer
    x = 117,336.71

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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.