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Finding the Fourth Proportional to 77,657.60, 116,486.40 and 53,081.60

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Solution

The fourth proportional to 77,657.60, 116,486.40 and 53,081.60 is: 79,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657.60 : 116,486.40 = 53,081.60 : x
  2. Step 2: Convert to fraction form
    77,657.60/116,486.40 = 53,081.60/x
  3. Step 3: Cross multiply
    77,657.60x = 116,486.40 × 53,081.60
  4. Step 4: Simplify right side
    77,657.60x = 6,183,284,490.24
  5. Step 5: Solve for x
    x = 6,183,284,490.24/77,657.60
  6. Step 6: Final answer
    x = 79,622.40

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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.