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Finding the Fourth Proportional to 61,830.61, 85,325.67 and 34,978.37

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Solution

The fourth proportional to 61,830.61, 85,325.67 and 34,978.37 is: 48,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830.61 : 85,325.67 = 34,978.37 : x
  2. Step 2: Convert to fraction form
    61,830.61/85,325.67 = 34,978.37/x
  3. Step 3: Cross multiply
    61,830.61x = 85,325.67 × 34,978.37
  4. Step 4: Simplify right side
    61,830.61x = 2,984,552,429.13
  5. Step 5: Solve for x
    x = 2,984,552,429.13/61,830.61
  6. Step 6: Final answer
    x = 48,269.82

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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.