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Finding the Fourth Proportional to 162,223.75, 243,335.63 and 51,415.75

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Solution

The fourth proportional to 162,223.75, 243,335.63 and 51,415.75 is: 77,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,223.75 : 243,335.63 = 51,415.75 : x
  2. Step 2: Convert to fraction form
    162,223.75/243,335.63 = 51,415.75/x
  3. Step 3: Cross multiply
    162,223.75x = 243,335.63 × 51,415.75
  4. Step 4: Simplify right side
    162,223.75x = 12,511,283,918.17
  5. Step 5: Solve for x
    x = 12,511,283,918.17/162,223.75
  6. Step 6: Final answer
    x = 77,123.63

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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.