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Finding the Fourth Proportional to 138,736.70, 191,457.15 and 75,074.49

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Solution

The fourth proportional to 138,736.70, 191,457.15 and 75,074.49 is: 103,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,736.70 : 191,457.15 = 75,074.49 : x
  2. Step 2: Convert to fraction form
    138,736.70/191,457.15 = 75,074.49/x
  3. Step 3: Cross multiply
    138,736.70x = 191,457.15 × 75,074.49
  4. Step 4: Simplify right side
    138,736.70x = 14,373,547,893.10
  5. Step 5: Solve for x
    x = 14,373,547,893.10/138,736.70
  6. Step 6: Final answer
    x = 103,603.07

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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.