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Finding the Fourth Proportional to 161,364, 242,047.20 and 56,182.80

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Solution

The fourth proportional to 161,364, 242,047.20 and 56,182.80 is: 84,274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,364 : 242,047.20 = 56,182.80 : x
  2. Step 2: Convert to fraction form
    161,364/242,047.20 = 56,182.80/x
  3. Step 3: Cross multiply
    161,364x = 242,047.20 × 56,182.80
  4. Step 4: Simplify right side
    161,364x = 13,598,889,428.16
  5. Step 5: Solve for x
    x = 13,598,889,428.16/161,364
  6. Step 6: Final answer
    x = 84,274.62

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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.