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Finding the Fourth Proportional to 145,909.75, 201,355.50 and 78,841.75

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Solution

The fourth proportional to 145,909.75, 201,355.50 and 78,841.75 is: 108,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,909.75 : 201,355.50 = 78,841.75 : x
  2. Step 2: Convert to fraction form
    145,909.75/201,355.50 = 78,841.75/x
  3. Step 3: Cross multiply
    145,909.75x = 201,355.50 × 78,841.75
  4. Step 4: Simplify right side
    145,909.75x = 15,875,219,992.13
  5. Step 5: Solve for x
    x = 15,875,219,992.13/145,909.75
  6. Step 6: Final answer
    x = 108,801.64

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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.