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Finding the Fourth Proportional to 202,830.56, 279,741.84 and 155,008.16

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Solution

The fourth proportional to 202,830.56, 279,741.84 and 155,008.16 is: 213,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,830.56 : 279,741.84 = 155,008.16 : x
  2. Step 2: Convert to fraction form
    202,830.56/279,741.84 = 155,008.16/x
  3. Step 3: Cross multiply
    202,830.56x = 279,741.84 × 155,008.16
  4. Step 4: Simplify right side
    202,830.56x = 43,362,267,893.41
  5. Step 5: Solve for x
    x = 43,362,267,893.41/202,830.56
  6. Step 6: Final answer
    x = 213,785.67

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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.