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Finding the Fourth Proportional to 145,893, 218,820.04 and 40,722.60

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Solution

The fourth proportional to 145,893, 218,820.04 and 40,722.60 is: 61,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,893 : 218,820.04 = 40,722.60 : x
  2. Step 2: Convert to fraction form
    145,893/218,820.04 = 40,722.60/x
  3. Step 3: Cross multiply
    145,893x = 218,820.04 × 40,722.60
  4. Step 4: Simplify right side
    145,893x = 8,910,920,960.90
  5. Step 5: Solve for x
    x = 8,910,920,960.90/145,893
  6. Step 6: Final answer
    x = 61,078.47

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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.