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Finding the Fourth Proportional to 82,812.96, 114,133.80 and 67,607.64

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Solution

The fourth proportional to 82,812.96, 114,133.80 and 67,607.64 is: 93,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812.96 : 114,133.80 = 67,607.64 : x
  2. Step 2: Convert to fraction form
    82,812.96/114,133.80 = 67,607.64/x
  3. Step 3: Cross multiply
    82,812.96x = 114,133.80 × 67,607.64
  4. Step 4: Simplify right side
    82,812.96x = 7,716,316,862.23
  5. Step 5: Solve for x
    x = 7,716,316,862.23/82,812.96
  6. Step 6: Final answer
    x = 93,177.65

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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.