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Finding the Fourth Proportional to 133,308.51, 183,966.96 and 72,878.05

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Solution

The fourth proportional to 133,308.51, 183,966.96 and 72,878.05 is: 100,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,308.51 : 183,966.96 = 72,878.05 : x
  2. Step 2: Convert to fraction form
    133,308.51/183,966.96 = 72,878.05/x
  3. Step 3: Cross multiply
    133,308.51x = 183,966.96 × 72,878.05
  4. Step 4: Simplify right side
    133,308.51x = 13,407,153,309.23
  5. Step 5: Solve for x
    x = 13,407,153,309.23/133,308.51
  6. Step 6: Final answer
    x = 100,572.37

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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.