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Finding the Fourth Proportional to 194,475, 291,712.50 and 63,147

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Solution

The fourth proportional to 194,475, 291,712.50 and 63,147 is: 94,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,475 : 291,712.50 = 63,147 : x
  2. Step 2: Convert to fraction form
    194,475/291,712.50 = 63,147/x
  3. Step 3: Cross multiply
    194,475x = 291,712.50 × 63,147
  4. Step 4: Simplify right side
    194,475x = 18,420,769,237.50
  5. Step 5: Solve for x
    x = 18,420,769,237.50/194,475
  6. Step 6: Final answer
    x = 94,720.50

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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.