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Finding the Fourth Proportional to 106,445.80, 159,798.30 and 53,828.20

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Solution

The fourth proportional to 106,445.80, 159,798.30 and 53,828.20 is: 80,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,445.80 : 159,798.30 = 53,828.20 : x
  2. Step 2: Convert to fraction form
    106,445.80/159,798.30 = 53,828.20/x
  3. Step 3: Cross multiply
    106,445.80x = 159,798.30 × 53,828.20
  4. Step 4: Simplify right side
    106,445.80x = 8,601,654,852.06
  5. Step 5: Solve for x
    x = 8,601,654,852.06/106,445.80
  6. Step 6: Final answer
    x = 80,807.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.