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Finding the Fourth Proportional to 74,284.16, 102,512.16 and 40,750.40

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Solution

The fourth proportional to 74,284.16, 102,512.16 and 40,750.40 is: 56,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,284.16 : 102,512.16 = 40,750.40 : x
  2. Step 2: Convert to fraction form
    74,284.16/102,512.16 = 40,750.40/x
  3. Step 3: Cross multiply
    74,284.16x = 102,512.16 × 40,750.40
  4. Step 4: Simplify right side
    74,284.16x = 4,177,411,524.86
  5. Step 5: Solve for x
    x = 4,177,411,524.86/74,284.16
  6. Step 6: Final answer
    x = 56,235.56

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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.