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Finding the Fourth Proportional to 161,800, 242,700.08 and 45,064

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Solution

The fourth proportional to 161,800, 242,700.08 and 45,064 is: 67,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,800 : 242,700.08 = 45,064 : x
  2. Step 2: Convert to fraction form
    161,800/242,700.08 = 45,064/x
  3. Step 3: Cross multiply
    161,800x = 242,700.08 × 45,064
  4. Step 4: Simplify right side
    161,800x = 10,937,036,405.12
  5. Step 5: Solve for x
    x = 10,937,036,405.12/161,800
  6. Step 6: Final answer
    x = 67,596.02

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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.