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Finding the Fourth Proportional to 78,751.76, 118,083.76 and 46,743.84

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Solution

The fourth proportional to 78,751.76, 118,083.76 and 46,743.84 is: 70,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,751.76 : 118,083.76 = 46,743.84 : x
  2. Step 2: Convert to fraction form
    78,751.76/118,083.76 = 46,743.84/x
  3. Step 3: Cross multiply
    78,751.76x = 118,083.76 × 46,743.84
  4. Step 4: Simplify right side
    78,751.76x = 5,519,688,384.04
  5. Step 5: Solve for x
    x = 5,519,688,384.04/78,751.76
  6. Step 6: Final answer
    x = 70,089.71

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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.