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Finding the Fourth Proportional to 77,070, 106,365.24 and 43,538.16

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Solution

The fourth proportional to 77,070, 106,365.24 and 43,538.16 is: 60,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,070 : 106,365.24 = 43,538.16 : x
  2. Step 2: Convert to fraction form
    77,070/106,365.24 = 43,538.16/x
  3. Step 3: Cross multiply
    77,070x = 106,365.24 × 43,538.16
  4. Step 4: Simplify right side
    77,070x = 4,630,946,837.56
  5. Step 5: Solve for x
    x = 4,630,946,837.56/77,070
  6. Step 6: Final answer
    x = 60,087.54

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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.