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Finding the Fourth Proportional to 138,191.73, 190,702.32 and 77,762.34

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Solution

The fourth proportional to 138,191.73, 190,702.32 and 77,762.34 is: 107,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,191.73 : 190,702.32 = 77,762.34 : x
  2. Step 2: Convert to fraction form
    138,191.73/190,702.32 = 77,762.34/x
  3. Step 3: Cross multiply
    138,191.73x = 190,702.32 × 77,762.34
  4. Step 4: Simplify right side
    138,191.73x = 14,829,458,646.63
  5. Step 5: Solve for x
    x = 14,829,458,646.63/138,191.73
  6. Step 6: Final answer
    x = 107,310.75

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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.