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Finding the Fourth Proportional to 161,520, 242,289.72 and 50,712

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Solution

The fourth proportional to 161,520, 242,289.72 and 50,712 is: 76,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,520 : 242,289.72 = 50,712 : x
  2. Step 2: Convert to fraction form
    161,520/242,289.72 = 50,712/x
  3. Step 3: Cross multiply
    161,520x = 242,289.72 × 50,712
  4. Step 4: Simplify right side
    161,520x = 12,286,996,280.64
  5. Step 5: Solve for x
    x = 12,286,996,280.64/161,520
  6. Step 6: Final answer
    x = 76,071.05

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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.