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Finding the Fourth Proportional to 77,970.47, 116,858.57 and 35,805.71

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Solution

The fourth proportional to 77,970.47, 116,858.57 and 35,805.71 is: 53,663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.47 : 116,858.57 = 35,805.71 : x
  2. Step 2: Convert to fraction form
    77,970.47/116,858.57 = 35,805.71/x
  3. Step 3: Cross multiply
    77,970.47x = 116,858.57 × 35,805.71
  4. Step 4: Simplify right side
    77,970.47x = 4,184,204,181.55
  5. Step 5: Solve for x
    x = 4,184,204,181.55/77,970.47
  6. Step 6: Final answer
    x = 53,663.96

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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.