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Finding the Fourth Proportional to 105,610.58, 145,742.93 and 57,213.01

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Solution

The fourth proportional to 105,610.58, 145,742.93 and 57,213.01 is: 78,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,610.58 : 145,742.93 = 57,213.01 : x
  2. Step 2: Convert to fraction form
    105,610.58/145,742.93 = 57,213.01/x
  3. Step 3: Cross multiply
    105,610.58x = 145,742.93 × 57,213.01
  4. Step 4: Simplify right side
    105,610.58x = 8,338,391,711.52
  5. Step 5: Solve for x
    x = 8,338,391,711.52/105,610.58
  6. Step 6: Final answer
    x = 78,954.13

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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.