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Finding the Fourth Proportional to 133,047.51, 183,602.02 and 72,618.90

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Solution

The fourth proportional to 133,047.51, 183,602.02 and 72,618.90 is: 100,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047.51 : 183,602.02 = 72,618.90 : x
  2. Step 2: Convert to fraction form
    133,047.51/183,602.02 = 72,618.90/x
  3. Step 3: Cross multiply
    133,047.51x = 183,602.02 × 72,618.90
  4. Step 4: Simplify right side
    133,047.51x = 13,332,976,730.18
  5. Step 5: Solve for x
    x = 13,332,976,730.18/133,047.51
  6. Step 6: Final answer
    x = 100,212.15

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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.