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Finding the Fourth Proportional to 105,745.43, 145,929.42 and 57,999.11

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Solution

The fourth proportional to 105,745.43, 145,929.42 and 57,999.11 is: 80,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,745.43 : 145,929.42 = 57,999.11 : x
  2. Step 2: Convert to fraction form
    105,745.43/145,929.42 = 57,999.11/x
  3. Step 3: Cross multiply
    105,745.43x = 145,929.42 × 57,999.11
  4. Step 4: Simplify right side
    105,745.43x = 8,463,776,482.82
  5. Step 5: Solve for x
    x = 8,463,776,482.82/105,745.43
  6. Step 6: Final answer
    x = 80,039.17

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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.