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Finding the Fourth Proportional to 84,168.65, 116,071.65 and 56,635.34

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Solution

The fourth proportional to 84,168.65, 116,071.65 and 56,635.34 is: 78,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,168.65 : 116,071.65 = 56,635.34 : x
  2. Step 2: Convert to fraction form
    84,168.65/116,071.65 = 56,635.34/x
  3. Step 3: Cross multiply
    84,168.65x = 116,071.65 × 56,635.34
  4. Step 4: Simplify right side
    84,168.65x = 6,573,756,781.75
  5. Step 5: Solve for x
    x = 6,573,756,781.75/84,168.65
  6. Step 6: Final answer
    x = 78,102.20

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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.