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Finding the Fourth Proportional to 153,052.98, 211,202.87 and 85,065.54

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Solution

The fourth proportional to 153,052.98, 211,202.87 and 85,065.54 is: 117,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,052.98 : 211,202.87 = 85,065.54 : x
  2. Step 2: Convert to fraction form
    153,052.98/211,202.87 = 85,065.54/x
  3. Step 3: Cross multiply
    153,052.98x = 211,202.87 × 85,065.54
  4. Step 4: Simplify right side
    153,052.98x = 17,966,085,760.77
  5. Step 5: Solve for x
    x = 17,966,085,760.77/153,052.98
  6. Step 6: Final answer
    x = 117,384.75

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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.