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Finding the Fourth Proportional to 77,987.90, 116,980.80 and 18,823.04

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Solution

The fourth proportional to 77,987.90, 116,980.80 and 18,823.04 is: 28,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,987.90 : 116,980.80 = 18,823.04 : x
  2. Step 2: Convert to fraction form
    77,987.90/116,980.80 = 18,823.04/x
  3. Step 3: Cross multiply
    77,987.90x = 116,980.80 × 18,823.04
  4. Step 4: Simplify right side
    77,987.90x = 2,201,934,277.63
  5. Step 5: Solve for x
    x = 2,201,934,277.63/77,987.90
  6. Step 6: Final answer
    x = 28,234.31

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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.