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Finding the Fourth Proportional to 137,990.81, 190,444.92 and 84,264.53

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Solution

The fourth proportional to 137,990.81, 190,444.92 and 84,264.53 is: 116,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,990.81 : 190,444.92 = 84,264.53 : x
  2. Step 2: Convert to fraction form
    137,990.81/190,444.92 = 84,264.53/x
  3. Step 3: Cross multiply
    137,990.81x = 190,444.92 × 84,264.53
  4. Step 4: Simplify right side
    137,990.81x = 16,047,750,722.46
  5. Step 5: Solve for x
    x = 16,047,750,722.46/137,990.81
  6. Step 6: Final answer
    x = 116,295.80

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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.