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Finding the Fourth Proportional to 147,218, 203,165.16 and 80,154.32

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Solution

The fourth proportional to 147,218, 203,165.16 and 80,154.32 is: 110,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,218 : 203,165.16 = 80,154.32 : x
  2. Step 2: Convert to fraction form
    147,218/203,165.16 = 80,154.32/x
  3. Step 3: Cross multiply
    147,218x = 203,165.16 × 80,154.32
  4. Step 4: Simplify right side
    147,218x = 16,284,565,247.49
  5. Step 5: Solve for x
    x = 16,284,565,247.49/147,218
  6. Step 6: Final answer
    x = 110,615.31

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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.