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Finding the Fourth Proportional to 133,071.76, 183,643.47 and 72,646.03

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Solution

The fourth proportional to 133,071.76, 183,643.47 and 72,646.03 is: 100,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071.76 : 183,643.47 = 72,646.03 : x
  2. Step 2: Convert to fraction form
    133,071.76/183,643.47 = 72,646.03/x
  3. Step 3: Cross multiply
    133,071.76x = 183,643.47 × 72,646.03
  4. Step 4: Simplify right side
    133,071.76x = 13,340,969,030.92
  5. Step 5: Solve for x
    x = 13,340,969,030.92/133,071.76
  6. Step 6: Final answer
    x = 100,253.95

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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.