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Finding the Fourth Proportional to 83,300, 114,955.66 and 45,575.06

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Solution

The fourth proportional to 83,300, 114,955.66 and 45,575.06 is: 62,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,300 : 114,955.66 = 45,575.06 : x
  2. Step 2: Convert to fraction form
    83,300/114,955.66 = 45,575.06/x
  3. Step 3: Cross multiply
    83,300x = 114,955.66 × 45,575.06
  4. Step 4: Simplify right side
    83,300x = 5,239,111,101.84
  5. Step 5: Solve for x
    x = 5,239,111,101.84/83,300
  6. Step 6: Final answer
    x = 62,894.49

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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.