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Finding the Fourth Proportional to 104,851.80, 144,833.97 and 77,683.08

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Solution

The fourth proportional to 104,851.80, 144,833.97 and 77,683.08 is: 107,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,851.80 : 144,833.97 = 77,683.08 : x
  2. Step 2: Convert to fraction form
    104,851.80/144,833.97 = 77,683.08/x
  3. Step 3: Cross multiply
    104,851.80x = 144,833.97 × 77,683.08
  4. Step 4: Simplify right side
    104,851.80x = 11,251,148,878.23
  5. Step 5: Solve for x
    x = 11,251,148,878.23/104,851.80
  6. Step 6: Final answer
    x = 107,305.25

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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.