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Finding the Fourth Proportional to 160,210.64, 221,017.08 and 103,640.24

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Solution

The fourth proportional to 160,210.64, 221,017.08 and 103,640.24 is: 142,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,210.64 : 221,017.08 = 103,640.24 : x
  2. Step 2: Convert to fraction form
    160,210.64/221,017.08 = 103,640.24/x
  3. Step 3: Cross multiply
    160,210.64x = 221,017.08 × 103,640.24
  4. Step 4: Simplify right side
    160,210.64x = 22,906,263,215.30
  5. Step 5: Solve for x
    x = 22,906,263,215.30/160,210.64
  6. Step 6: Final answer
    x = 142,975.92

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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.