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Finding the Fourth Proportional to 105,380.46, 157,916.12 and 62,643.78

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Solution

The fourth proportional to 105,380.46, 157,916.12 and 62,643.78 is: 93,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,380.46 : 157,916.12 = 62,643.78 : x
  2. Step 2: Convert to fraction form
    105,380.46/157,916.12 = 62,643.78/x
  3. Step 3: Cross multiply
    105,380.46x = 157,916.12 × 62,643.78
  4. Step 4: Simplify right side
    105,380.46x = 9,892,462,366.51
  5. Step 5: Solve for x
    x = 9,892,462,366.51/105,380.46
  6. Step 6: Final answer
    x = 93,873.78

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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.