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Finding the Fourth Proportional to 105,630.88, 145,774.16 and 57,883.81

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Solution

The fourth proportional to 105,630.88, 145,774.16 and 57,883.81 is: 79,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,630.88 : 145,774.16 = 57,883.81 : x
  2. Step 2: Convert to fraction form
    105,630.88/145,774.16 = 57,883.81/x
  3. Step 3: Cross multiply
    105,630.88x = 145,774.16 × 57,883.81
  4. Step 4: Simplify right side
    105,630.88x = 8,437,963,560.62
  5. Step 5: Solve for x
    x = 8,437,963,560.62/105,630.88
  6. Step 6: Final answer
    x = 79,881.60

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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.