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Finding the Fourth Proportional to 82,020.30, 123,030.43 and 46,935.15

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Solution

The fourth proportional to 82,020.30, 123,030.43 and 46,935.15 is: 70,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,020.30 : 123,030.43 = 46,935.15 : x
  2. Step 2: Convert to fraction form
    82,020.30/123,030.43 = 46,935.15/x
  3. Step 3: Cross multiply
    82,020.30x = 123,030.43 × 46,935.15
  4. Step 4: Simplify right side
    82,020.30x = 5,774,451,686.61
  5. Step 5: Solve for x
    x = 5,774,451,686.61/82,020.30
  6. Step 6: Final answer
    x = 70,402.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.