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Finding the Fourth Proportional to 82,860, 114,347.04 and 45,134.32

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Solution

The fourth proportional to 82,860, 114,347.04 and 45,134.32 is: 62,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,860 : 114,347.04 = 45,134.32 : x
  2. Step 2: Convert to fraction form
    82,860/114,347.04 = 45,134.32/x
  3. Step 3: Cross multiply
    82,860x = 114,347.04 × 45,134.32
  4. Step 4: Simplify right side
    82,860x = 5,160,975,894.41
  5. Step 5: Solve for x
    x = 5,160,975,894.41/82,860
  6. Step 6: Final answer
    x = 62,285.49

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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.