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Finding the Fourth Proportional to 74,080, 102,230.40 and 40,546

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Solution

The fourth proportional to 74,080, 102,230.40 and 40,546 is: 55,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,080 : 102,230.40 = 40,546 : x
  2. Step 2: Convert to fraction form
    74,080/102,230.40 = 40,546/x
  3. Step 3: Cross multiply
    74,080x = 102,230.40 × 40,546
  4. Step 4: Simplify right side
    74,080x = 4,145,033,798.40
  5. Step 5: Solve for x
    x = 4,145,033,798.40/74,080
  6. Step 6: Final answer
    x = 55,953.48

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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.