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Finding the Fourth Proportional to 102,898.62, 142,008.66 and 57,580.79

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Solution

The fourth proportional to 102,898.62, 142,008.66 and 57,580.79 is: 79,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,898.62 : 142,008.66 = 57,580.79 : x
  2. Step 2: Convert to fraction form
    102,898.62/142,008.66 = 57,580.79/x
  3. Step 3: Cross multiply
    102,898.62x = 142,008.66 × 57,580.79
  4. Step 4: Simplify right side
    102,898.62x = 8,176,970,119.60
  5. Step 5: Solve for x
    x = 8,176,970,119.60/102,898.62
  6. Step 6: Final answer
    x = 79,466.28

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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.