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Finding the Fourth Proportional to 142,790, 196,778.52 and 104,561.24

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Solution

The fourth proportional to 142,790, 196,778.52 and 104,561.24 is: 144,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,790 : 196,778.52 = 104,561.24 : x
  2. Step 2: Convert to fraction form
    142,790/196,778.52 = 104,561.24/x
  3. Step 3: Cross multiply
    142,790x = 196,778.52 × 104,561.24
  4. Step 4: Simplify right side
    142,790x = 20,575,406,056.56
  5. Step 5: Solve for x
    x = 20,575,406,056.56/142,790
  6. Step 6: Final answer
    x = 144,095.57

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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.