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Finding the Fourth Proportional to 82,931.32, 114,446.13 and 45,205.57

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Solution

The fourth proportional to 82,931.32, 114,446.13 and 45,205.57 is: 62,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,931.32 : 114,446.13 = 45,205.57 : x
  2. Step 2: Convert to fraction form
    82,931.32/114,446.13 = 45,205.57/x
  3. Step 3: Cross multiply
    82,931.32x = 114,446.13 × 45,205.57
  4. Step 4: Simplify right side
    82,931.32x = 5,173,602,540.94
  5. Step 5: Solve for x
    x = 5,173,602,540.94/82,931.32
  6. Step 6: Final answer
    x = 62,384.18

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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.