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Finding the Fourth Proportional to 143,312.63, 214,999.53 and 48,539.50

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Solution

The fourth proportional to 143,312.63, 214,999.53 and 48,539.50 is: 72,819.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,312.63 : 214,999.53 = 48,539.50 : x
  2. Step 2: Convert to fraction form
    143,312.63/214,999.53 = 48,539.50/x
  3. Step 3: Cross multiply
    143,312.63x = 214,999.53 × 48,539.50
  4. Step 4: Simplify right side
    143,312.63x = 10,435,969,148.94
  5. Step 5: Solve for x
    x = 10,435,969,148.94/143,312.63
  6. Step 6: Final answer
    x = 72,819.60

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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.