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Finding the Fourth Proportional to 77,985.88, 116,881.88 and 35,821.24

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Solution

The fourth proportional to 77,985.88, 116,881.88 and 35,821.24 is: 53,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985.88 : 116,881.88 = 35,821.24 : x
  2. Step 2: Convert to fraction form
    77,985.88/116,881.88 = 35,821.24/x
  3. Step 3: Cross multiply
    77,985.88x = 116,881.88 × 35,821.24
  4. Step 4: Simplify right side
    77,985.88x = 4,186,853,875.13
  5. Step 5: Solve for x
    x = 4,186,853,875.13/77,985.88
  6. Step 6: Final answer
    x = 53,687.33

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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.