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Finding the Fourth Proportional to 162,756.80, 243,989.40 and 106,623.80

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Solution

The fourth proportional to 162,756.80, 243,989.40 and 106,623.80 is: 159,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,756.80 : 243,989.40 = 106,623.80 : x
  2. Step 2: Convert to fraction form
    162,756.80/243,989.40 = 106,623.80/x
  3. Step 3: Cross multiply
    162,756.80x = 243,989.40 × 106,623.80
  4. Step 4: Simplify right side
    162,756.80x = 26,015,076,987.72
  5. Step 5: Solve for x
    x = 26,015,076,987.72/162,756.80
  6. Step 6: Final answer
    x = 159,840.18

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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.