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Finding the Fourth Proportional to 101,776, 140,450.88 and 57,064

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Solution

The fourth proportional to 101,776, 140,450.88 and 57,064 is: 78,748.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,776 : 140,450.88 = 57,064 : x
  2. Step 2: Convert to fraction form
    101,776/140,450.88 = 57,064/x
  3. Step 3: Cross multiply
    101,776x = 140,450.88 × 57,064
  4. Step 4: Simplify right side
    101,776x = 8,014,689,016.32
  5. Step 5: Solve for x
    x = 8,014,689,016.32/101,776
  6. Step 6: Final answer
    x = 78,748.32

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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.