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Finding the Fourth Proportional to 94,218, 130,020.78 and 51,776.54

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Solution

The fourth proportional to 94,218, 130,020.78 and 51,776.54 is: 71,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,218 : 130,020.78 = 51,776.54 : x
  2. Step 2: Convert to fraction form
    94,218/130,020.78 = 51,776.54/x
  3. Step 3: Cross multiply
    94,218x = 130,020.78 × 51,776.54
  4. Step 4: Simplify right side
    94,218x = 6,732,026,116.50
  5. Step 5: Solve for x
    x = 6,732,026,116.50/94,218
  6. Step 6: Final answer
    x = 71,451.59

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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.