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Finding the Fourth Proportional to 81,574.56, 112,547.66 and 47,558.98

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Solution

The fourth proportional to 81,574.56, 112,547.66 and 47,558.98 is: 65,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,574.56 : 112,547.66 = 47,558.98 : x
  2. Step 2: Convert to fraction form
    81,574.56/112,547.66 = 47,558.98/x
  3. Step 3: Cross multiply
    81,574.56x = 112,547.66 × 47,558.98
  4. Step 4: Simplify right side
    81,574.56x = 5,352,651,391.82
  5. Step 5: Solve for x
    x = 5,352,651,391.82/81,574.56
  6. Step 6: Final answer
    x = 65,616.68

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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.