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Finding the Fourth Proportional to 109,147.61, 150,623.48 and 61,400.99

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Solution

The fourth proportional to 109,147.61, 150,623.48 and 61,400.99 is: 84,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,147.61 : 150,623.48 = 61,400.99 : x
  2. Step 2: Convert to fraction form
    109,147.61/150,623.48 = 61,400.99/x
  3. Step 3: Cross multiply
    109,147.61x = 150,623.48 × 61,400.99
  4. Step 4: Simplify right side
    109,147.61x = 9,248,430,858.80
  5. Step 5: Solve for x
    x = 9,248,430,858.80/109,147.61
  6. Step 6: Final answer
    x = 84,733.25

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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.