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Finding the Fourth Proportional to 141,250, 194,925 and 77,588.86

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Solution

The fourth proportional to 141,250, 194,925 and 77,588.86 is: 107,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,250 : 194,925 = 77,588.86 : x
  2. Step 2: Convert to fraction form
    141,250/194,925 = 77,588.86/x
  3. Step 3: Cross multiply
    141,250x = 194,925 × 77,588.86
  4. Step 4: Simplify right side
    141,250x = 15,124,008,535.50
  5. Step 5: Solve for x
    x = 15,124,008,535.50/141,250
  6. Step 6: Final answer
    x = 107,072.63

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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.