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Finding the Fourth Proportional to 105,642.33, 145,787.58 and 57,894.66

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Solution

The fourth proportional to 105,642.33, 145,787.58 and 57,894.66 is: 79,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.33 : 145,787.58 = 57,894.66 : x
  2. Step 2: Convert to fraction form
    105,642.33/145,787.58 = 57,894.66/x
  3. Step 3: Cross multiply
    105,642.33x = 145,787.58 × 57,894.66
  4. Step 4: Simplify right side
    105,642.33x = 8,440,322,376.32
  5. Step 5: Solve for x
    x = 8,440,322,376.32/105,642.33
  6. Step 6: Final answer
    x = 79,895.27

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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.