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Finding the Fourth Proportional to 281,695.25, 388,738.80 and 152,637.24

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Solution

The fourth proportional to 281,695.25, 388,738.80 and 152,637.24 is: 210,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,695.25 : 388,738.80 = 152,637.24 : x
  2. Step 2: Convert to fraction form
    281,695.25/388,738.80 = 152,637.24/x
  3. Step 3: Cross multiply
    281,695.25x = 388,738.80 × 152,637.24
  4. Step 4: Simplify right side
    281,695.25x = 59,336,017,512.91
  5. Step 5: Solve for x
    x = 59,336,017,512.91/281,695.25
  6. Step 6: Final answer
    x = 210,639.05

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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.