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Finding the Fourth Proportional to 64,894.40, 97,322.40 and 25,428.80

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Solution

The fourth proportional to 64,894.40, 97,322.40 and 25,428.80 is: 38,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,894.40 : 97,322.40 = 25,428.80 : x
  2. Step 2: Convert to fraction form
    64,894.40/97,322.40 = 25,428.80/x
  3. Step 3: Cross multiply
    64,894.40x = 97,322.40 × 25,428.80
  4. Step 4: Simplify right side
    64,894.40x = 2,474,791,845.12
  5. Step 5: Solve for x
    x = 2,474,791,845.12/64,894.40
  6. Step 6: Final answer
    x = 38,135.68

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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.