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Finding the Fourth Proportional to 145,640.86, 200,980.31 and 81,110.08

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Solution

The fourth proportional to 145,640.86, 200,980.31 and 81,110.08 is: 111,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,640.86 : 200,980.31 = 81,110.08 : x
  2. Step 2: Convert to fraction form
    145,640.86/200,980.31 = 81,110.08/x
  3. Step 3: Cross multiply
    145,640.86x = 200,980.31 × 81,110.08
  4. Step 4: Simplify right side
    145,640.86x = 16,301,528,193.93
  5. Step 5: Solve for x
    x = 16,301,528,193.93/145,640.86
  6. Step 6: Final answer
    x = 111,929.63

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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.