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Finding the Fourth Proportional to 77,802.32, 116,715.82 and 27,881.34

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Solution

The fourth proportional to 77,802.32, 116,715.82 and 27,881.34 is: 41,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.32 : 116,715.82 = 27,881.34 : x
  2. Step 2: Convert to fraction form
    77,802.32/116,715.82 = 27,881.34/x
  3. Step 3: Cross multiply
    77,802.32x = 116,715.82 × 27,881.34
  4. Step 4: Simplify right side
    77,802.32x = 3,254,193,460.80
  5. Step 5: Solve for x
    x = 3,254,193,460.80/77,802.32
  6. Step 6: Final answer
    x = 41,826.43

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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.