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Finding the Fourth Proportional to 152,319.78, 210,201.27 and 85,251.78

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Solution

The fourth proportional to 152,319.78, 210,201.27 and 85,251.78 is: 117,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,319.78 : 210,201.27 = 85,251.78 : x
  2. Step 2: Convert to fraction form
    152,319.78/210,201.27 = 85,251.78/x
  3. Step 3: Cross multiply
    152,319.78x = 210,201.27 × 85,251.78
  4. Step 4: Simplify right side
    152,319.78x = 17,920,032,425.76
  5. Step 5: Solve for x
    x = 17,920,032,425.76/152,319.78
  6. Step 6: Final answer
    x = 117,647.44

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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.