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Finding the Fourth Proportional to 162,204.24, 243,358.53 and 77,970.54

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Solution

The fourth proportional to 162,204.24, 243,358.53 and 77,970.54 is: 116,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,204.24 : 243,358.53 = 77,970.54 : x
  2. Step 2: Convert to fraction form
    162,204.24/243,358.53 = 77,970.54/x
  3. Step 3: Cross multiply
    162,204.24x = 243,358.53 × 77,970.54
  4. Step 4: Simplify right side
    162,204.24x = 18,974,795,997.71
  5. Step 5: Solve for x
    x = 18,974,795,997.71/162,204.24
  6. Step 6: Final answer
    x = 116,980.89

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1.5x scale

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.