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Finding the Fourth Proportional to 77,556.80, 116,421.60 and 42,564.80

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Solution

The fourth proportional to 77,556.80, 116,421.60 and 42,564.80 is: 63,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,556.80 : 116,421.60 = 42,564.80 : x
  2. Step 2: Convert to fraction form
    77,556.80/116,421.60 = 42,564.80/x
  3. Step 3: Cross multiply
    77,556.80x = 116,421.60 × 42,564.80
  4. Step 4: Simplify right side
    77,556.80x = 4,955,462,119.68
  5. Step 5: Solve for x
    x = 4,955,462,119.68/77,556.80
  6. Step 6: Final answer
    x = 63,894.62

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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.