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Finding the Fourth Proportional to 137,753.86, 190,119.53 and 76,513.81

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Solution

The fourth proportional to 137,753.86, 190,119.53 and 76,513.81 is: 105,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,753.86 : 190,119.53 = 76,513.81 : x
  2. Step 2: Convert to fraction form
    137,753.86/190,119.53 = 76,513.81/x
  3. Step 3: Cross multiply
    137,753.86x = 190,119.53 × 76,513.81
  4. Step 4: Simplify right side
    137,753.86x = 14,546,769,595.71
  5. Step 5: Solve for x
    x = 14,546,769,595.71/137,753.86
  6. Step 6: Final answer
    x = 105,599.72

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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.