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Finding the Fourth Proportional to 65,985.40, 98,843.70 and 40,948.60

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Solution

The fourth proportional to 65,985.40, 98,843.70 and 40,948.60 is: 61,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,985.40 : 98,843.70 = 40,948.60 : x
  2. Step 2: Convert to fraction form
    65,985.40/98,843.70 = 40,948.60/x
  3. Step 3: Cross multiply
    65,985.40x = 98,843.70 × 40,948.60
  4. Step 4: Simplify right side
    65,985.40x = 4,047,511,133.82
  5. Step 5: Solve for x
    x = 4,047,511,133.82/65,985.40
  6. Step 6: Final answer
    x = 61,339.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.