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Finding the Fourth Proportional to 78,735.65, 118,068.85 and 28,802.80

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Solution

The fourth proportional to 78,735.65, 118,068.85 and 28,802.80 is: 43,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,735.65 : 118,068.85 = 28,802.80 : x
  2. Step 2: Convert to fraction form
    78,735.65/118,068.85 = 28,802.80/x
  3. Step 3: Cross multiply
    78,735.65x = 118,068.85 × 28,802.80
  4. Step 4: Simplify right side
    78,735.65x = 3,400,712,738.42
  5. Step 5: Solve for x
    x = 3,400,712,738.42/78,735.65
  6. Step 6: Final answer
    x = 43,191.52

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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.