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Finding the Fourth Proportional to 105,290.51, 157,990.43 and 80,489.93

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Solution

The fourth proportional to 105,290.51, 157,990.43 and 80,489.93 is: 120,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,290.51 : 157,990.43 = 80,489.93 : x
  2. Step 2: Convert to fraction form
    105,290.51/157,990.43 = 80,489.93/x
  3. Step 3: Cross multiply
    105,290.51x = 157,990.43 × 80,489.93
  4. Step 4: Simplify right side
    105,290.51x = 12,716,638,062.64
  5. Step 5: Solve for x
    x = 12,716,638,062.64/105,290.51
  6. Step 6: Final answer
    x = 120,776.68

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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.