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Finding the Fourth Proportional to 208,054.94, 287,409.75 and 165,559.10

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Solution

The fourth proportional to 208,054.94, 287,409.75 and 165,559.10 is: 228,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,054.94 : 287,409.75 = 165,559.10 : x
  2. Step 2: Convert to fraction form
    208,054.94/287,409.75 = 165,559.10/x
  3. Step 3: Cross multiply
    208,054.94x = 287,409.75 × 165,559.10
  4. Step 4: Simplify right side
    208,054.94x = 47,583,299,541.23
  5. Step 5: Solve for x
    x = 47,583,299,541.23/208,054.94
  6. Step 6: Final answer
    x = 228,705.45

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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.