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Finding the Fourth Proportional to 133,312.68, 183,971.85 and 72,884.01

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Solution

The fourth proportional to 133,312.68, 183,971.85 and 72,884.01 is: 100,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,312.68 : 183,971.85 = 72,884.01 : x
  2. Step 2: Convert to fraction form
    133,312.68/183,971.85 = 72,884.01/x
  3. Step 3: Cross multiply
    133,312.68x = 183,971.85 × 72,884.01
  4. Step 4: Simplify right side
    133,312.68x = 13,408,606,155.12
  5. Step 5: Solve for x
    x = 13,408,606,155.12/133,312.68
  6. Step 6: Final answer
    x = 100,580.13

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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.