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Finding the Fourth Proportional to 65,475, 98,212.50 and 28,539

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Solution

The fourth proportional to 65,475, 98,212.50 and 28,539 is: 42,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,475 : 98,212.50 = 28,539 : x
  2. Step 2: Convert to fraction form
    65,475/98,212.50 = 28,539/x
  3. Step 3: Cross multiply
    65,475x = 98,212.50 × 28,539
  4. Step 4: Simplify right side
    65,475x = 2,802,886,537.50
  5. Step 5: Solve for x
    x = 2,802,886,537.50/65,475
  6. Step 6: Final answer
    x = 42,808.50

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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.