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Finding the Fourth Proportional to 160,782.24, 221,880 and 89,168.88

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Solution

The fourth proportional to 160,782.24, 221,880 and 89,168.88 is: 123,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,782.24 : 221,880 = 89,168.88 : x
  2. Step 2: Convert to fraction form
    160,782.24/221,880 = 89,168.88/x
  3. Step 3: Cross multiply
    160,782.24x = 221,880 × 89,168.88
  4. Step 4: Simplify right side
    160,782.24x = 19,784,791,094.40
  5. Step 5: Solve for x
    x = 19,784,791,094.40/160,782.24
  6. Step 6: Final answer
    x = 123,053.34

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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.