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Finding the Fourth Proportional to 120,570, 180,855 and 46,698

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Solution

The fourth proportional to 120,570, 180,855 and 46,698 is: 70,047

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,570 : 180,855 = 46,698 : x
  2. Step 2: Convert to fraction form
    120,570/180,855 = 46,698/x
  3. Step 3: Cross multiply
    120,570x = 180,855 × 46,698
  4. Step 4: Simplify right side
    120,570x = 8,445,566,790
  5. Step 5: Solve for x
    x = 8,445,566,790/120,570
  6. Step 6: Final answer
    x = 70,047

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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.