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Finding the Fourth Proportional to 77,710, 116,585.48 and 27,795.04

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Solution

The fourth proportional to 77,710, 116,585.48 and 27,795.04 is: 41,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,710 : 116,585.48 = 27,795.04 : x
  2. Step 2: Convert to fraction form
    77,710/116,585.48 = 27,795.04/x
  3. Step 3: Cross multiply
    77,710x = 116,585.48 × 27,795.04
  4. Step 4: Simplify right side
    77,710x = 3,240,498,080.02
  5. Step 5: Solve for x
    x = 3,240,498,080.02/77,710
  6. Step 6: Final answer
    x = 41,699.89

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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.