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Finding the Fourth Proportional to 74,307.78, 102,551.94 and 42,470.62

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Solution

The fourth proportional to 74,307.78, 102,551.94 and 42,470.62 is: 58,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,307.78 : 102,551.94 = 42,470.62 : x
  2. Step 2: Convert to fraction form
    74,307.78/102,551.94 = 42,470.62/x
  3. Step 3: Cross multiply
    74,307.78x = 102,551.94 × 42,470.62
  4. Step 4: Simplify right side
    74,307.78x = 4,355,444,474.00
  5. Step 5: Solve for x
    x = 4,355,444,474.00/74,307.78
  6. Step 6: Final answer
    x = 58,613.57

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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.