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Finding the Fourth Proportional to 120,571, 180,856.50 and 46,699

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Solution

The fourth proportional to 120,571, 180,856.50 and 46,699 is: 70,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,571 : 180,856.50 = 46,699 : x
  2. Step 2: Convert to fraction form
    120,571/180,856.50 = 46,699/x
  3. Step 3: Cross multiply
    120,571x = 180,856.50 × 46,699
  4. Step 4: Simplify right side
    120,571x = 8,445,817,693.50
  5. Step 5: Solve for x
    x = 8,445,817,693.50/120,571
  6. Step 6: Final answer
    x = 70,048.50

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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.