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Finding the Fourth Proportional to 105,980.43, 158,970.68 and 39,411.87

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Solution

The fourth proportional to 105,980.43, 158,970.68 and 39,411.87 is: 59,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,980.43 : 158,970.68 = 39,411.87 : x
  2. Step 2: Convert to fraction form
    105,980.43/158,970.68 = 39,411.87/x
  3. Step 3: Cross multiply
    105,980.43x = 158,970.68 × 39,411.87
  4. Step 4: Simplify right side
    105,980.43x = 6,265,331,017.72
  5. Step 5: Solve for x
    x = 6,265,331,017.72/105,980.43
  6. Step 6: Final answer
    x = 59,117.81

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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.