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Finding the Fourth Proportional to 105,642.68, 145,783.60 and 57,895.16

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Solution

The fourth proportional to 105,642.68, 145,783.60 and 57,895.16 is: 79,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,642.68 : 145,783.60 = 57,895.16 : x
  2. Step 2: Convert to fraction form
    105,642.68/145,783.60 = 57,895.16/x
  3. Step 3: Cross multiply
    105,642.68x = 145,783.60 × 57,895.16
  4. Step 4: Simplify right side
    105,642.68x = 8,440,163,973.72
  5. Step 5: Solve for x
    x = 8,440,163,973.72/105,642.68
  6. Step 6: Final answer
    x = 79,893.51

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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.