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Finding the Fourth Proportional to 147,656.16, 203,765.76 and 80,588.16

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Solution

The fourth proportional to 147,656.16, 203,765.76 and 80,588.16 is: 111,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,656.16 : 203,765.76 = 80,588.16 : x
  2. Step 2: Convert to fraction form
    147,656.16/203,765.76 = 80,588.16/x
  3. Step 3: Cross multiply
    147,656.16x = 203,765.76 × 80,588.16
  4. Step 4: Simplify right side
    147,656.16x = 16,421,107,669.40
  5. Step 5: Solve for x
    x = 16,421,107,669.40/147,656.16
  6. Step 6: Final answer
    x = 111,211.80

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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.