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Finding the Fourth Proportional to 85,547.70, 118,056.59 and 47,309.82

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Solution

The fourth proportional to 85,547.70, 118,056.59 and 47,309.82 is: 65,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,547.70 : 118,056.59 = 47,309.82 : x
  2. Step 2: Convert to fraction form
    85,547.70/118,056.59 = 47,309.82/x
  3. Step 3: Cross multiply
    85,547.70x = 118,056.59 × 47,309.82
  4. Step 4: Simplify right side
    85,547.70x = 5,585,235,786.16
  5. Step 5: Solve for x
    x = 5,585,235,786.16/85,547.70
  6. Step 6: Final answer
    x = 65,287.97

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Why These Related Problems?

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