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Finding the Fourth Proportional to 105,815, 146,026.48 and 58,072.80

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Solution

The fourth proportional to 105,815, 146,026.48 and 58,072.80 is: 80,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,815 : 146,026.48 = 58,072.80 : x
  2. Step 2: Convert to fraction form
    105,815/146,026.48 = 58,072.80/x
  3. Step 3: Cross multiply
    105,815x = 146,026.48 × 58,072.80
  4. Step 4: Simplify right side
    105,815x = 8,480,166,567.74
  5. Step 5: Solve for x
    x = 8,480,166,567.74/105,815
  6. Step 6: Final answer
    x = 80,141.44

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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.