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Finding the Fourth Proportional to 76,545, 105,642 and 43,011

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Solution

The fourth proportional to 76,545, 105,642 and 43,011 is: 59,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,545 : 105,642 = 43,011 : x
  2. Step 2: Convert to fraction form
    76,545/105,642 = 43,011/x
  3. Step 3: Cross multiply
    76,545x = 105,642 × 43,011
  4. Step 4: Simplify right side
    76,545x = 4,543,768,062
  5. Step 5: Solve for x
    x = 4,543,768,062/76,545
  6. Step 6: Final answer
    x = 59,360.74

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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.