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Finding the Fourth Proportional to 160,802.54, 221,914.92 and 89,178.30

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Solution

The fourth proportional to 160,802.54, 221,914.92 and 89,178.30 is: 123,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,802.54 : 221,914.92 = 89,178.30 : x
  2. Step 2: Convert to fraction form
    160,802.54/221,914.92 = 89,178.30/x
  3. Step 3: Cross multiply
    160,802.54x = 221,914.92 × 89,178.30
  4. Step 4: Simplify right side
    160,802.54x = 19,789,995,310.24
  5. Step 5: Solve for x
    x = 19,789,995,310.24/160,802.54
  6. Step 6: Final answer
    x = 123,070.17

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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.