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Finding the Fourth Proportional to 85,881.13, 118,515.85 and 47,646.48

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Solution

The fourth proportional to 85,881.13, 118,515.85 and 47,646.48 is: 65,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,881.13 : 118,515.85 = 47,646.48 : x
  2. Step 2: Convert to fraction form
    85,881.13/118,515.85 = 47,646.48/x
  3. Step 3: Cross multiply
    85,881.13x = 118,515.85 × 47,646.48
  4. Step 4: Simplify right side
    85,881.13x = 5,646,863,076.71
  5. Step 5: Solve for x
    x = 5,646,863,076.71/85,881.13
  6. Step 6: Final answer
    x = 65,752.08

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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.