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Finding the Fourth Proportional to 129,402, 194,113.94 and 35,907.75

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Solution

The fourth proportional to 129,402, 194,113.94 and 35,907.75 is: 53,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,402 : 194,113.94 = 35,907.75 : x
  2. Step 2: Convert to fraction form
    129,402/194,113.94 = 35,907.75/x
  3. Step 3: Cross multiply
    129,402x = 194,113.94 × 35,907.75
  4. Step 4: Simplify right side
    129,402x = 6,970,194,649.50
  5. Step 5: Solve for x
    x = 6,970,194,649.50/129,402
  6. Step 6: Final answer
    x = 53,864.66

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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.