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Finding the Fourth Proportional to 77,788, 116,630.16 and 36,212.32

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Solution

The fourth proportional to 77,788, 116,630.16 and 36,212.32 is: 54,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,788 : 116,630.16 = 36,212.32 : x
  2. Step 2: Convert to fraction form
    77,788/116,630.16 = 36,212.32/x
  3. Step 3: Cross multiply
    77,788x = 116,630.16 × 36,212.32
  4. Step 4: Simplify right side
    77,788x = 4,223,448,675.57
  5. Step 5: Solve for x
    x = 4,223,448,675.57/77,788
  6. Step 6: Final answer
    x = 54,294.35

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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.