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Finding the Fourth Proportional to 189,380.16, 284,070.24 and 64,722.24

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Solution

The fourth proportional to 189,380.16, 284,070.24 and 64,722.24 is: 97,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,380.16 : 284,070.24 = 64,722.24 : x
  2. Step 2: Convert to fraction form
    189,380.16/284,070.24 = 64,722.24/x
  3. Step 3: Cross multiply
    189,380.16x = 284,070.24 × 64,722.24
  4. Step 4: Simplify right side
    189,380.16x = 18,385,662,250.14
  5. Step 5: Solve for x
    x = 18,385,662,250.14/189,380.16
  6. Step 6: Final answer
    x = 97,083.36

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1.5x scale

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.