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Finding the Fourth Proportional to 82,971.78, 114,501.51 and 45,245.22

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Solution

The fourth proportional to 82,971.78, 114,501.51 and 45,245.22 is: 62,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,971.78 : 114,501.51 = 45,245.22 : x
  2. Step 2: Convert to fraction form
    82,971.78/114,501.51 = 45,245.22/x
  3. Step 3: Cross multiply
    82,971.78x = 114,501.51 × 45,245.22
  4. Step 4: Simplify right side
    82,971.78x = 5,180,646,010.28
  5. Step 5: Solve for x
    x = 5,180,646,010.28/82,971.78
  6. Step 6: Final answer
    x = 62,438.65

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1.5x scale

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.