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Finding the Fourth Proportional to 65,648.88, 90,564.48 and 47,736

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Solution

The fourth proportional to 65,648.88, 90,564.48 and 47,736 is: 65,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,648.88 : 90,564.48 = 47,736 : x
  2. Step 2: Convert to fraction form
    65,648.88/90,564.48 = 47,736/x
  3. Step 3: Cross multiply
    65,648.88x = 90,564.48 × 47,736
  4. Step 4: Simplify right side
    65,648.88x = 4,323,186,017.28
  5. Step 5: Solve for x
    x = 4,323,186,017.28/65,648.88
  6. Step 6: Final answer
    x = 65,853.16

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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.