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Finding the Fourth Proportional to 60,303.44, 83,146.44 and 56,978

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Solution

The fourth proportional to 60,303.44, 83,146.44 and 56,978 is: 78,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,303.44 : 83,146.44 = 56,978 : x
  2. Step 2: Convert to fraction form
    60,303.44/83,146.44 = 56,978/x
  3. Step 3: Cross multiply
    60,303.44x = 83,146.44 × 56,978
  4. Step 4: Simplify right side
    60,303.44x = 4,737,517,858.32
  5. Step 5: Solve for x
    x = 4,737,517,858.32/60,303.44
  6. Step 6: Final answer
    x = 78,561.32

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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.