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Finding the Fourth Proportional to 212,012, 292,570.52 and 116,518.56

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Solution

The fourth proportional to 212,012, 292,570.52 and 116,518.56 is: 160,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,012 : 292,570.52 = 116,518.56 : x
  2. Step 2: Convert to fraction form
    212,012/292,570.52 = 116,518.56/x
  3. Step 3: Cross multiply
    212,012x = 292,570.52 × 116,518.56
  4. Step 4: Simplify right side
    212,012x = 34,089,895,688.85
  5. Step 5: Solve for x
    x = 34,089,895,688.85/212,012
  6. Step 6: Final answer
    x = 160,792.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.