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Finding the Fourth Proportional to 74,575.84, 102,915.10 and 40,584.60

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Solution

The fourth proportional to 74,575.84, 102,915.10 and 40,584.60 is: 56,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,575.84 : 102,915.10 = 40,584.60 : x
  2. Step 2: Convert to fraction form
    74,575.84/102,915.10 = 40,584.60/x
  3. Step 3: Cross multiply
    74,575.84x = 102,915.10 × 40,584.60
  4. Step 4: Simplify right side
    74,575.84x = 4,176,767,652.88
  5. Step 5: Solve for x
    x = 4,176,767,652.88/74,575.84
  6. Step 6: Final answer
    x = 56,006.98

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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.