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Finding the Fourth Proportional to 78,682.16, 118,110.72 and 77,457.44

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Solution

The fourth proportional to 78,682.16, 118,110.72 and 77,457.44 is: 116,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682.16 : 118,110.72 = 77,457.44 : x
  2. Step 2: Convert to fraction form
    78,682.16/118,110.72 = 77,457.44/x
  3. Step 3: Cross multiply
    78,682.16x = 118,110.72 × 77,457.44
  4. Step 4: Simplify right side
    78,682.16x = 9,148,554,007.76
  5. Step 5: Solve for x
    x = 9,148,554,007.76/78,682.16
  6. Step 6: Final answer
    x = 116,272.28

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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.