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Finding the Fourth Proportional to 162,024.80, 243,004.80 and 77,784.80

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Solution

The fourth proportional to 162,024.80, 243,004.80 and 77,784.80 is: 116,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,024.80 : 243,004.80 = 77,784.80 : x
  2. Step 2: Convert to fraction form
    162,024.80/243,004.80 = 77,784.80/x
  3. Step 3: Cross multiply
    162,024.80x = 243,004.80 × 77,784.80
  4. Step 4: Simplify right side
    162,024.80x = 18,902,079,767.04
  5. Step 5: Solve for x
    x = 18,902,079,767.04/162,024.80
  6. Step 6: Final answer
    x = 116,661.65

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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.