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Finding the Fourth Proportional to 105,452.98, 145,525.56 and 57,054.76

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Solution

The fourth proportional to 105,452.98, 145,525.56 and 57,054.76 is: 78,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,452.98 : 145,525.56 = 57,054.76 : x
  2. Step 2: Convert to fraction form
    105,452.98/145,525.56 = 57,054.76/x
  3. Step 3: Cross multiply
    105,452.98x = 145,525.56 × 57,054.76
  4. Step 4: Simplify right side
    105,452.98x = 8,302,925,899.67
  5. Step 5: Solve for x
    x = 8,302,925,899.67/105,452.98
  6. Step 6: Final answer
    x = 78,735.81

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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.