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Finding the Fourth Proportional to 83,720, 115,533.65 and 45,996.68

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Solution

The fourth proportional to 83,720, 115,533.65 and 45,996.68 is: 63,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,720 : 115,533.65 = 45,996.68 : x
  2. Step 2: Convert to fraction form
    83,720/115,533.65 = 45,996.68/x
  3. Step 3: Cross multiply
    83,720x = 115,533.65 × 45,996.68
  4. Step 4: Simplify right side
    83,720x = 5,314,164,328.28
  5. Step 5: Solve for x
    x = 5,314,164,328.28/83,720
  6. Step 6: Final answer
    x = 63,475.45

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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.