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Finding the Fourth Proportional to 51,520, 71,098.32 and 30,009.18

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Solution

The fourth proportional to 51,520, 71,098.32 and 30,009.18 is: 41,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,520 : 71,098.32 = 30,009.18 : x
  2. Step 2: Convert to fraction form
    51,520/71,098.32 = 30,009.18/x
  3. Step 3: Cross multiply
    51,520x = 71,098.32 × 30,009.18
  4. Step 4: Simplify right side
    51,520x = 2,133,602,282.58
  5. Step 5: Solve for x
    x = 2,133,602,282.58/51,520
  6. Step 6: Final answer
    x = 41,413.09

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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.