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Finding the Fourth Proportional to 240,642.50, 360,963.75 and 65,538.50

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Solution

The fourth proportional to 240,642.50, 360,963.75 and 65,538.50 is: 98,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,642.50 : 360,963.75 = 65,538.50 : x
  2. Step 2: Convert to fraction form
    240,642.50/360,963.75 = 65,538.50/x
  3. Step 3: Cross multiply
    240,642.50x = 360,963.75 × 65,538.50
  4. Step 4: Simplify right side
    240,642.50x = 23,657,022,729.38
  5. Step 5: Solve for x
    x = 23,657,022,729.38/240,642.50
  6. Step 6: Final answer
    x = 98,307.75

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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.