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Finding the Fourth Proportional to 220,970.42, 304,929.34 and 129,098.23

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Solution

The fourth proportional to 220,970.42, 304,929.34 and 129,098.23 is: 178,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,970.42 : 304,929.34 = 129,098.23 : x
  2. Step 2: Convert to fraction form
    220,970.42/304,929.34 = 129,098.23/x
  3. Step 3: Cross multiply
    220,970.42x = 304,929.34 × 129,098.23
  4. Step 4: Simplify right side
    220,970.42x = 39,365,838,069.07
  5. Step 5: Solve for x
    x = 39,365,838,069.07/220,970.42
  6. Step 6: Final answer
    x = 178,149.81

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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.