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Finding the Fourth Proportional to 78,103.68, 116,980.48 and 46,874.40

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Solution

The fourth proportional to 78,103.68, 116,980.48 and 46,874.40 is: 70,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,103.68 : 116,980.48 = 46,874.40 : x
  2. Step 2: Convert to fraction form
    78,103.68/116,980.48 = 46,874.40/x
  3. Step 3: Cross multiply
    78,103.68x = 116,980.48 × 46,874.40
  4. Step 4: Simplify right side
    78,103.68x = 5,483,389,811.71
  5. Step 5: Solve for x
    x = 5,483,389,811.71/78,103.68
  6. Step 6: Final answer
    x = 70,206.55

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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.