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Finding the Fourth Proportional to 71,478.72, 98,570.48 and 65,828.16

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Solution

The fourth proportional to 71,478.72, 98,570.48 and 65,828.16 is: 90,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478.72 : 98,570.48 = 65,828.16 : x
  2. Step 2: Convert to fraction form
    71,478.72/98,570.48 = 65,828.16/x
  3. Step 3: Cross multiply
    71,478.72x = 98,570.48 × 65,828.16
  4. Step 4: Simplify right side
    71,478.72x = 6,488,713,328.72
  5. Step 5: Solve for x
    x = 6,488,713,328.72/71,478.72
  6. Step 6: Final answer
    x = 90,778.25

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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.