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Finding the Fourth Proportional to 208,312.35, 287,494.43 and 117,674.16

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Solution

The fourth proportional to 208,312.35, 287,494.43 and 117,674.16 is: 162,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.35 : 287,494.43 = 117,674.16 : x
  2. Step 2: Convert to fraction form
    208,312.35/287,494.43 = 117,674.16/x
  3. Step 3: Cross multiply
    208,312.35x = 287,494.43 × 117,674.16
  4. Step 4: Simplify right side
    208,312.35x = 33,830,665,554.93
  5. Step 5: Solve for x
    x = 33,830,665,554.93/208,312.35
  6. Step 6: Final answer
    x = 162,403.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.