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Finding the Fourth Proportional to 51,210, 70,673.40 and 28,854

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Solution

The fourth proportional to 51,210, 70,673.40 and 28,854 is: 39,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,210 : 70,673.40 = 28,854 : x
  2. Step 2: Convert to fraction form
    51,210/70,673.40 = 28,854/x
  3. Step 3: Cross multiply
    51,210x = 70,673.40 × 28,854
  4. Step 4: Simplify right side
    51,210x = 2,039,210,283.60
  5. Step 5: Solve for x
    x = 2,039,210,283.60/51,210
  6. Step 6: Final answer
    x = 39,820.55

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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.