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Finding the Fourth Proportional to 134,755.40, 201,741.72 and 78,423.68

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Solution

The fourth proportional to 134,755.40, 201,741.72 and 78,423.68 is: 117,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,755.40 : 201,741.72 = 78,423.68 : x
  2. Step 2: Convert to fraction form
    134,755.40/201,741.72 = 78,423.68/x
  3. Step 3: Cross multiply
    134,755.40x = 201,741.72 × 78,423.68
  4. Step 4: Simplify right side
    134,755.40x = 15,821,328,091.93
  5. Step 5: Solve for x
    x = 15,821,328,091.93/134,755.40
  6. Step 6: Final answer
    x = 117,407.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.