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Finding the Fourth Proportional to 114,509.64, 171,492.96 and 90,740.76

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Solution

The fourth proportional to 114,509.64, 171,492.96 and 90,740.76 is: 135,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,509.64 : 171,492.96 = 90,740.76 : x
  2. Step 2: Convert to fraction form
    114,509.64/171,492.96 = 90,740.76/x
  3. Step 3: Cross multiply
    114,509.64x = 171,492.96 × 90,740.76
  4. Step 4: Simplify right side
    114,509.64x = 15,561,401,525.05
  5. Step 5: Solve for x
    x = 15,561,401,525.05/114,509.64
  6. Step 6: Final answer
    x = 135,896.00

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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.