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Finding the Fourth Proportional to 133,071.40, 183,639 and 72,643.38

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Solution

The fourth proportional to 133,071.40, 183,639 and 72,643.38 is: 100,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.40 : 183,639 = 72,643.38 : x
  2. Step 2: Convert to fraction form
    133,071.40/183,639 = 72,643.38/x
  3. Step 3: Cross multiply
    133,071.40x = 183,639 × 72,643.38
  4. Step 4: Simplify right side
    133,071.40x = 13,340,157,659.82
  5. Step 5: Solve for x
    x = 13,340,157,659.82/133,071.40
  6. Step 6: Final answer
    x = 100,248.12

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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.