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Finding the Fourth Proportional to 76,315.79, 105,297 and 45,698.94

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Solution

The fourth proportional to 76,315.79, 105,297 and 45,698.94 is: 63,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,315.79 : 105,297 = 45,698.94 : x
  2. Step 2: Convert to fraction form
    76,315.79/105,297 = 45,698.94/x
  3. Step 3: Cross multiply
    76,315.79x = 105,297 × 45,698.94
  4. Step 4: Simplify right side
    76,315.79x = 4,811,961,285.18
  5. Step 5: Solve for x
    x = 4,811,961,285.18/76,315.79
  6. Step 6: Final answer
    x = 63,053.29

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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.