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Finding the Fourth Proportional to 212,590, 318,899.58 and 70,435

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Solution

The fourth proportional to 212,590, 318,899.58 and 70,435 is: 105,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,590 : 318,899.58 = 70,435 : x
  2. Step 2: Convert to fraction form
    212,590/318,899.58 = 70,435/x
  3. Step 3: Cross multiply
    212,590x = 318,899.58 × 70,435
  4. Step 4: Simplify right side
    212,590x = 22,461,691,917.30
  5. Step 5: Solve for x
    x = 22,461,691,917.30/212,590
  6. Step 6: Final answer
    x = 105,657.33

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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.