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Finding the Fourth Proportional to 105,709.76, 145,878.30 and 57,963

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Solution

The fourth proportional to 105,709.76, 145,878.30 and 57,963 is: 79,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,709.76 : 145,878.30 = 57,963 : x
  2. Step 2: Convert to fraction form
    105,709.76/145,878.30 = 57,963/x
  3. Step 3: Cross multiply
    105,709.76x = 145,878.30 × 57,963
  4. Step 4: Simplify right side
    105,709.76x = 8,455,543,902.90
  5. Step 5: Solve for x
    x = 8,455,543,902.90/105,709.76
  6. Step 6: Final answer
    x = 79,988.30

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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.