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Finding the Fourth Proportional to 105,642.48, 145,787.74 and 57,894.78

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Solution

The fourth proportional to 105,642.48, 145,787.74 and 57,894.78 is: 79,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.48 : 145,787.74 = 57,894.78 : x
  2. Step 2: Convert to fraction form
    105,642.48/145,787.74 = 57,894.78/x
  3. Step 3: Cross multiply
    105,642.48x = 145,787.74 × 57,894.78
  4. Step 4: Simplify right side
    105,642.48x = 8,440,349,134.00
  5. Step 5: Solve for x
    x = 8,440,349,134.00/105,642.48
  6. Step 6: Final answer
    x = 79,895.41

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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.