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Finding the Fourth Proportional to 74,307, 102,543.66 and 40,775.16

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Solution

The fourth proportional to 74,307, 102,543.66 and 40,775.16 is: 56,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,307 : 102,543.66 = 40,775.16 : x
  2. Step 2: Convert to fraction form
    74,307/102,543.66 = 40,775.16/x
  3. Step 3: Cross multiply
    74,307x = 102,543.66 × 40,775.16
  4. Step 4: Simplify right side
    74,307x = 4,181,234,143.49
  5. Step 5: Solve for x
    x = 4,181,234,143.49/74,307
  6. Step 6: Final answer
    x = 56,269.72

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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.