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Finding the Fourth Proportional to 145,368.80, 218,079.12 and 40,185.44

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Solution

The fourth proportional to 145,368.80, 218,079.12 and 40,185.44 is: 60,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,368.80 : 218,079.12 = 40,185.44 : x
  2. Step 2: Convert to fraction form
    145,368.80/218,079.12 = 40,185.44/x
  3. Step 3: Cross multiply
    145,368.80x = 218,079.12 × 40,185.44
  4. Step 4: Simplify right side
    145,368.80x = 8,763,605,392.01
  5. Step 5: Solve for x
    x = 8,763,605,392.01/145,368.80
  6. Step 6: Final answer
    x = 60,285.33

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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.