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Finding the Fourth Proportional to 162,048.21, 243,159.80 and 78,942.21

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Solution

The fourth proportional to 162,048.21, 243,159.80 and 78,942.21 is: 118,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,048.21 : 243,159.80 = 78,942.21 : x
  2. Step 2: Convert to fraction form
    162,048.21/243,159.80 = 78,942.21/x
  3. Step 3: Cross multiply
    162,048.21x = 243,159.80 × 78,942.21
  4. Step 4: Simplify right side
    162,048.21x = 19,195,571,600.45
  5. Step 5: Solve for x
    x = 19,195,571,600.45/162,048.21
  6. Step 6: Final answer
    x = 118,455.93

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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.