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Finding the Fourth Proportional to 77,477.16, 116,200.42 and 21,302.77

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Solution

The fourth proportional to 77,477.16, 116,200.42 and 21,302.77 is: 31,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.16 : 116,200.42 = 21,302.77 : x
  2. Step 2: Convert to fraction form
    77,477.16/116,200.42 = 21,302.77/x
  3. Step 3: Cross multiply
    77,477.16x = 116,200.42 × 21,302.77
  4. Step 4: Simplify right side
    77,477.16x = 2,475,390,767.91
  5. Step 5: Solve for x
    x = 2,475,390,767.91/77,477.16
  6. Step 6: Final answer
    x = 31,949.94

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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.