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Finding the Fourth Proportional to 145,809.86, 201,217.59 and 78,741.86

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Solution

The fourth proportional to 145,809.86, 201,217.59 and 78,741.86 is: 108,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,809.86 : 201,217.59 = 78,741.86 : x
  2. Step 2: Convert to fraction form
    145,809.86/201,217.59 = 78,741.86/x
  3. Step 3: Cross multiply
    145,809.86x = 201,217.59 × 78,741.86
  4. Step 4: Simplify right side
    145,809.86x = 15,844,246,295.23
  5. Step 5: Solve for x
    x = 15,844,246,295.23/145,809.86
  6. Step 6: Final answer
    x = 108,663.75

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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.