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Finding the Fourth Proportional to 76,810.37, 115,136.37 and 29,412.52

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Solution

The fourth proportional to 76,810.37, 115,136.37 and 29,412.52 is: 44,088.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,810.37 : 115,136.37 = 29,412.52 : x
  2. Step 2: Convert to fraction form
    76,810.37/115,136.37 = 29,412.52/x
  3. Step 3: Cross multiply
    76,810.37x = 115,136.37 × 29,412.52
  4. Step 4: Simplify right side
    76,810.37x = 3,386,450,497.51
  5. Step 5: Solve for x
    x = 3,386,450,497.51/76,810.37
  6. Step 6: Final answer
    x = 44,088.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.