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Finding the Fourth Proportional to 72,887.11, 109,346 and 41,312.30

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Solution

The fourth proportional to 72,887.11, 109,346 and 41,312.30 is: 61,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,887.11 : 109,346 = 41,312.30 : x
  2. Step 2: Convert to fraction form
    72,887.11/109,346 = 41,312.30/x
  3. Step 3: Cross multiply
    72,887.11x = 109,346 × 41,312.30
  4. Step 4: Simplify right side
    72,887.11x = 4,517,334,209.07
  5. Step 5: Solve for x
    x = 4,517,334,209.07/72,887.11
  6. Step 6: Final answer
    x = 61,977.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.