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Finding the Fourth Proportional to 104,460.84, 144,156.78 and 61,428.78

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Solution

The fourth proportional to 104,460.84, 144,156.78 and 61,428.78 is: 84,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,460.84 : 144,156.78 = 61,428.78 : x
  2. Step 2: Convert to fraction form
    104,460.84/144,156.78 = 61,428.78/x
  3. Step 3: Cross multiply
    104,460.84x = 144,156.78 × 61,428.78
  4. Step 4: Simplify right side
    104,460.84x = 8,855,375,124.13
  5. Step 5: Solve for x
    x = 8,855,375,124.13/104,460.84
  6. Step 6: Final answer
    x = 84,772.20

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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.