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Finding the Fourth Proportional to 212,407.56, 318,612.24 and 86,050.26

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Solution

The fourth proportional to 212,407.56, 318,612.24 and 86,050.26 is: 129,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,407.56 : 318,612.24 = 86,050.26 : x
  2. Step 2: Convert to fraction form
    212,407.56/318,612.24 = 86,050.26/x
  3. Step 3: Cross multiply
    212,407.56x = 318,612.24 × 86,050.26
  4. Step 4: Simplify right side
    212,407.56x = 27,416,666,091.18
  5. Step 5: Solve for x
    x = 27,416,666,091.18/212,407.56
  6. Step 6: Final answer
    x = 129,075.75

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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.