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Finding the Fourth Proportional to 212,820.93, 319,231.40 and 72,580.77

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Solution

The fourth proportional to 212,820.93, 319,231.40 and 72,580.77 is: 108,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,820.93 : 319,231.40 = 72,580.77 : x
  2. Step 2: Convert to fraction form
    212,820.93/319,231.40 = 72,580.77/x
  3. Step 3: Cross multiply
    212,820.93x = 319,231.40 × 72,580.77
  4. Step 4: Simplify right side
    212,820.93x = 23,170,060,457.27
  5. Step 5: Solve for x
    x = 23,170,060,457.27/212,820.93
  6. Step 6: Final answer
    x = 108,871.16

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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.