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Finding the Fourth Proportional to 61,345, 92,039.10 and 30,202.12

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Solution

The fourth proportional to 61,345, 92,039.10 and 30,202.12 is: 45,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,345 : 92,039.10 = 30,202.12 : x
  2. Step 2: Convert to fraction form
    61,345/92,039.10 = 30,202.12/x
  3. Step 3: Cross multiply
    61,345x = 92,039.10 × 30,202.12
  4. Step 4: Simplify right side
    61,345x = 2,779,775,942.89
  5. Step 5: Solve for x
    x = 2,779,775,942.89/61,345
  6. Step 6: Final answer
    x = 45,313.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.