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Finding the Fourth Proportional to 76,564.98, 105,652.08 and 47,879.10

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Solution

The fourth proportional to 76,564.98, 105,652.08 and 47,879.10 is: 66,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.98 : 105,652.08 = 47,879.10 : x
  2. Step 2: Convert to fraction form
    76,564.98/105,652.08 = 47,879.10/x
  3. Step 3: Cross multiply
    76,564.98x = 105,652.08 × 47,879.10
  4. Step 4: Simplify right side
    76,564.98x = 5,058,526,503.53
  5. Step 5: Solve for x
    x = 5,058,526,503.53/76,564.98
  6. Step 6: Final answer
    x = 66,068.41

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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.