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Finding the Fourth Proportional to 165,801.94, 228,843.58 and 105,360.78

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Solution

The fourth proportional to 165,801.94, 228,843.58 and 105,360.78 is: 145,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,801.94 : 228,843.58 = 105,360.78 : x
  2. Step 2: Convert to fraction form
    165,801.94/228,843.58 = 105,360.78/x
  3. Step 3: Cross multiply
    165,801.94x = 228,843.58 × 105,360.78
  4. Step 4: Simplify right side
    165,801.94x = 24,111,136,948.24
  5. Step 5: Solve for x
    x = 24,111,136,948.24/165,801.94
  6. Step 6: Final answer
    x = 145,421.32

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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.