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Finding the Fourth Proportional to 65,143.56, 89,904.48 and 47,009.28

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Solution

The fourth proportional to 65,143.56, 89,904.48 and 47,009.28 is: 64,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143.56 : 89,904.48 = 47,009.28 : x
  2. Step 2: Convert to fraction form
    65,143.56/89,904.48 = 47,009.28/x
  3. Step 3: Cross multiply
    65,143.56x = 89,904.48 × 47,009.28
  4. Step 4: Simplify right side
    65,143.56x = 4,226,344,873.57
  5. Step 5: Solve for x
    x = 4,226,344,873.57/65,143.56
  6. Step 6: Final answer
    x = 64,877.40

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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.