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Finding the Fourth Proportional to 77,779.75, 116,686.91 and 28,531.75

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Solution

The fourth proportional to 77,779.75, 116,686.91 and 28,531.75 is: 42,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779.75 : 116,686.91 = 28,531.75 : x
  2. Step 2: Convert to fraction form
    77,779.75/116,686.91 = 28,531.75/x
  3. Step 3: Cross multiply
    77,779.75x = 116,686.91 × 28,531.75
  4. Step 4: Simplify right side
    77,779.75x = 3,329,281,744.39
  5. Step 5: Solve for x
    x = 3,329,281,744.39/77,779.75
  6. Step 6: Final answer
    x = 42,803.97

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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.