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Finding the Fourth Proportional to 76,138, 105,070.44 and 42,610.48

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Solution

The fourth proportional to 76,138, 105,070.44 and 42,610.48 is: 58,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,138 : 105,070.44 = 42,610.48 : x
  2. Step 2: Convert to fraction form
    76,138/105,070.44 = 42,610.48/x
  3. Step 3: Cross multiply
    76,138x = 105,070.44 × 42,610.48
  4. Step 4: Simplify right side
    76,138x = 4,477,101,882.21
  5. Step 5: Solve for x
    x = 4,477,101,882.21/76,138
  6. Step 6: Final answer
    x = 58,802.46

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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.