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Finding the Fourth Proportional to 78,568.74, 117,853.11 and 64,688.58

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Solution

The fourth proportional to 78,568.74, 117,853.11 and 64,688.58 is: 97,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.74 : 117,853.11 = 64,688.58 : x
  2. Step 2: Convert to fraction form
    78,568.74/117,853.11 = 64,688.58/x
  3. Step 3: Cross multiply
    78,568.74x = 117,853.11 × 64,688.58
  4. Step 4: Simplify right side
    78,568.74x = 7,623,750,334.48
  5. Step 5: Solve for x
    x = 7,623,750,334.48/78,568.74
  6. Step 6: Final answer
    x = 97,032.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.