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Finding the Fourth Proportional to 77,606.40, 116,460.80 and 28,358.40

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Solution

The fourth proportional to 77,606.40, 116,460.80 and 28,358.40 is: 42,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,606.40 : 116,460.80 = 28,358.40 : x
  2. Step 2: Convert to fraction form
    77,606.40/116,460.80 = 28,358.40/x
  3. Step 3: Cross multiply
    77,606.40x = 116,460.80 × 28,358.40
  4. Step 4: Simplify right side
    77,606.40x = 3,302,641,950.72
  5. Step 5: Solve for x
    x = 3,302,641,950.72/77,606.40
  6. Step 6: Final answer
    x = 42,556.31

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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.