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Finding the Fourth Proportional to 94,902.63, 130,978.79 and 54,615.66

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Solution

The fourth proportional to 94,902.63, 130,978.79 and 54,615.66 is: 75,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,902.63 : 130,978.79 = 54,615.66 : x
  2. Step 2: Convert to fraction form
    94,902.63/130,978.79 = 54,615.66/x
  3. Step 3: Cross multiply
    94,902.63x = 130,978.79 × 54,615.66
  4. Step 4: Simplify right side
    94,902.63x = 7,153,493,061.85
  5. Step 5: Solve for x
    x = 7,153,493,061.85/94,902.63
  6. Step 6: Final answer
    x = 75,377.18

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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.