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Finding the Fourth Proportional to 145,877.40, 201,310.65 and 78,809.40

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Solution

The fourth proportional to 145,877.40, 201,310.65 and 78,809.40 is: 108,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,877.40 : 201,310.65 = 78,809.40 : x
  2. Step 2: Convert to fraction form
    145,877.40/201,310.65 = 78,809.40/x
  3. Step 3: Cross multiply
    145,877.40x = 201,310.65 × 78,809.40
  4. Step 4: Simplify right side
    145,877.40x = 15,865,171,540.11
  5. Step 5: Solve for x
    x = 15,865,171,540.11/145,877.40
  6. Step 6: Final answer
    x = 108,756.88

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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.