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Finding the Fourth Proportional to 82,883.16, 114,378.12 and 45,157.40

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Solution

The fourth proportional to 82,883.16, 114,378.12 and 45,157.40 is: 62,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,883.16 : 114,378.12 = 45,157.40 : x
  2. Step 2: Convert to fraction form
    82,883.16/114,378.12 = 45,157.40/x
  3. Step 3: Cross multiply
    82,883.16x = 114,378.12 × 45,157.40
  4. Step 4: Simplify right side
    82,883.16x = 5,165,018,516.09
  5. Step 5: Solve for x
    x = 5,165,018,516.09/82,883.16
  6. Step 6: Final answer
    x = 62,316.86

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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.