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Finding the Fourth Proportional to 208,807.39, 313,109.02 and 145,657.78

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Solution

The fourth proportional to 208,807.39, 313,109.02 and 145,657.78 is: 218,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.39 : 313,109.02 = 145,657.78 : x
  2. Step 2: Convert to fraction form
    208,807.39/313,109.02 = 145,657.78/x
  3. Step 3: Cross multiply
    208,807.39x = 313,109.02 × 145,657.78
  4. Step 4: Simplify right side
    208,807.39x = 45,606,764,751.18
  5. Step 5: Solve for x
    x = 45,606,764,751.18/208,807.39
  6. Step 6: Final answer
    x = 218,415.47

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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.