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Finding the Fourth Proportional to 161,822, 242,745.60 and 73,125.20

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Solution

The fourth proportional to 161,822, 242,745.60 and 73,125.20 is: 109,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,822 : 242,745.60 = 73,125.20 : x
  2. Step 2: Convert to fraction form
    161,822/242,745.60 = 73,125.20/x
  3. Step 3: Cross multiply
    161,822x = 242,745.60 × 73,125.20
  4. Step 4: Simplify right side
    161,822x = 17,750,820,549.12
  5. Step 5: Solve for x
    x = 17,750,820,549.12/161,822
  6. Step 6: Final answer
    x = 109,693.49

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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.