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Finding the Fourth Proportional to 73,788, 101,829.60 and 40,256.16

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Solution

The fourth proportional to 73,788, 101,829.60 and 40,256.16 is: 55,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,788 : 101,829.60 = 40,256.16 : x
  2. Step 2: Convert to fraction form
    73,788/101,829.60 = 40,256.16/x
  3. Step 3: Cross multiply
    73,788x = 101,829.60 × 40,256.16
  4. Step 4: Simplify right side
    73,788x = 4,099,268,670.34
  5. Step 5: Solve for x
    x = 4,099,268,670.34/73,788
  6. Step 6: Final answer
    x = 55,554.68

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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.