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Finding the Fourth Proportional to 85,406.16, 117,865.96 and 47,680.40

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Solution

The fourth proportional to 85,406.16, 117,865.96 and 47,680.40 is: 65,802.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,406.16 : 117,865.96 = 47,680.40 : x
  2. Step 2: Convert to fraction form
    85,406.16/117,865.96 = 47,680.40/x
  3. Step 3: Cross multiply
    85,406.16x = 117,865.96 × 47,680.40
  4. Step 4: Simplify right side
    85,406.16x = 5,619,896,119.18
  5. Step 5: Solve for x
    x = 5,619,896,119.18/85,406.16
  6. Step 6: Final answer
    x = 65,802.00

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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.