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Finding the Fourth Proportional to 84,510.66, 116,518.86 and 54,242.58

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Solution

The fourth proportional to 84,510.66, 116,518.86 and 54,242.58 is: 74,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,510.66 : 116,518.86 = 54,242.58 : x
  2. Step 2: Convert to fraction form
    84,510.66/116,518.86 = 54,242.58/x
  3. Step 3: Cross multiply
    84,510.66x = 116,518.86 × 54,242.58
  4. Step 4: Simplify right side
    84,510.66x = 6,320,283,585.06
  5. Step 5: Solve for x
    x = 6,320,283,585.06/84,510.66
  6. Step 6: Final answer
    x = 74,786.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.