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Finding the Fourth Proportional to 216,070.94, 298,142.23 and 120,577.40

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Solution

The fourth proportional to 216,070.94, 298,142.23 and 120,577.40 is: 166,376.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,070.94 : 298,142.23 = 120,577.40 : x
  2. Step 2: Convert to fraction form
    216,070.94/298,142.23 = 120,577.40/x
  3. Step 3: Cross multiply
    216,070.94x = 298,142.23 × 120,577.40
  4. Step 4: Simplify right side
    216,070.94x = 35,949,214,320.72
  5. Step 5: Solve for x
    x = 35,949,214,320.72/216,070.94
  6. Step 6: Final answer
    x = 166,376.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.