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Finding the Fourth Proportional to 212,503.79, 318,779.04 and 105,914.58

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Solution

The fourth proportional to 212,503.79, 318,779.04 and 105,914.58 is: 158,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,503.79 : 318,779.04 = 105,914.58 : x
  2. Step 2: Convert to fraction form
    212,503.79/318,779.04 = 105,914.58/x
  3. Step 3: Cross multiply
    212,503.79x = 318,779.04 × 105,914.58
  4. Step 4: Simplify right side
    212,503.79x = 33,763,349,262.33
  5. Step 5: Solve for x
    x = 33,763,349,262.33/212,503.79
  6. Step 6: Final answer
    x = 158,883.51

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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.