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Finding the Fourth Proportional to 208,020.94, 286,991.83 and 153,704.06

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Solution

The fourth proportional to 208,020.94, 286,991.83 and 153,704.06 is: 212,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,020.94 : 286,991.83 = 153,704.06 : x
  2. Step 2: Convert to fraction form
    208,020.94/286,991.83 = 153,704.06/x
  3. Step 3: Cross multiply
    208,020.94x = 286,991.83 × 153,704.06
  4. Step 4: Simplify right side
    208,020.94x = 44,111,807,638.61
  5. Step 5: Solve for x
    x = 44,111,807,638.61/208,020.94
  6. Step 6: Final answer
    x = 212,054.65

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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.