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Finding the Fourth Proportional to 145,978.20, 218,951.10 and 40,807.80

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Solution

The fourth proportional to 145,978.20, 218,951.10 and 40,807.80 is: 61,207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,978.20 : 218,951.10 = 40,807.80 : x
  2. Step 2: Convert to fraction form
    145,978.20/218,951.10 = 40,807.80/x
  3. Step 3: Cross multiply
    145,978.20x = 218,951.10 × 40,807.80
  4. Step 4: Simplify right side
    145,978.20x = 8,934,912,698.58
  5. Step 5: Solve for x
    x = 8,934,912,698.58/145,978.20
  6. Step 6: Final answer
    x = 61,207.17

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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.