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Finding the Fourth Proportional to 160,159.16, 221,015.34 and 87,559.16

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Solution

The fourth proportional to 160,159.16, 221,015.34 and 87,559.16 is: 120,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,159.16 : 221,015.34 = 87,559.16 : x
  2. Step 2: Convert to fraction form
    160,159.16/221,015.34 = 87,559.16/x
  3. Step 3: Cross multiply
    160,159.16x = 221,015.34 × 87,559.16
  4. Step 4: Simplify right side
    160,159.16x = 19,351,917,517.51
  5. Step 5: Solve for x
    x = 19,351,917,517.51/160,159.16
  6. Step 6: Final answer
    x = 120,829.29

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1.5x scale

Why These Related Problems?

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