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Finding the Fourth Proportional to 83,427.82, 115,133.26 and 45,702.07

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Solution

The fourth proportional to 83,427.82, 115,133.26 and 45,702.07 is: 63,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,427.82 : 115,133.26 = 45,702.07 : x
  2. Step 2: Convert to fraction form
    83,427.82/115,133.26 = 45,702.07/x
  3. Step 3: Cross multiply
    83,427.82x = 115,133.26 × 45,702.07
  4. Step 4: Simplify right side
    83,427.82x = 5,261,828,307.85
  5. Step 5: Solve for x
    x = 5,261,828,307.85/83,427.82
  6. Step 6: Final answer
    x = 63,070.43

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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.