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Finding the Fourth Proportional to 105,578.81, 158,366.95 and 42,397.80

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Solution

The fourth proportional to 105,578.81, 158,366.95 and 42,397.80 is: 63,596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,578.81 : 158,366.95 = 42,397.80 : x
  2. Step 2: Convert to fraction form
    105,578.81/158,366.95 = 42,397.80/x
  3. Step 3: Cross multiply
    105,578.81x = 158,366.95 × 42,397.80
  4. Step 4: Simplify right side
    105,578.81x = 6,714,409,572.84
  5. Step 5: Solve for x
    x = 6,714,409,572.84/105,578.81
  6. Step 6: Final answer
    x = 63,596.19

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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.