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Finding the Fourth Proportional to 161,975.20, 242,857.20 and 145,386.40

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Solution

The fourth proportional to 161,975.20, 242,857.20 and 145,386.40 is: 217,984.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,975.20 : 242,857.20 = 145,386.40 : x
  2. Step 2: Convert to fraction form
    161,975.20/242,857.20 = 145,386.40/x
  3. Step 3: Cross multiply
    161,975.20x = 242,857.20 × 145,386.40
  4. Step 4: Simplify right side
    161,975.20x = 35,308,134,022.08
  5. Step 5: Solve for x
    x = 35,308,134,022.08/161,975.20
  6. Step 6: Final answer
    x = 217,984.82

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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.