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Finding the Fourth Proportional to 82,862, 114,349.80 and 45,136.32

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Solution

The fourth proportional to 82,862, 114,349.80 and 45,136.32 is: 62,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,862 : 114,349.80 = 45,136.32 : x
  2. Step 2: Convert to fraction form
    82,862/114,349.80 = 45,136.32/x
  3. Step 3: Cross multiply
    82,862x = 114,349.80 × 45,136.32
  4. Step 4: Simplify right side
    82,862x = 5,161,329,164.74
  5. Step 5: Solve for x
    x = 5,161,329,164.74/82,862
  6. Step 6: Final answer
    x = 62,288.25

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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.