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Finding the Fourth Proportional to 152,809.54, 210,879.50 and 84,830.90

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Solution

The fourth proportional to 152,809.54, 210,879.50 and 84,830.90 is: 117,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809.54 : 210,879.50 = 84,830.90 : x
  2. Step 2: Convert to fraction form
    152,809.54/210,879.50 = 84,830.90/x
  3. Step 3: Cross multiply
    152,809.54x = 210,879.50 × 84,830.90
  4. Step 4: Simplify right side
    152,809.54x = 17,889,096,775.17
  5. Step 5: Solve for x
    x = 17,889,096,775.17/152,809.54
  6. Step 6: Final answer
    x = 117,067.93

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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.