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Finding the Fourth Proportional to 64,885.20, 97,295.40 and 29,785.20

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Solution

The fourth proportional to 64,885.20, 97,295.40 and 29,785.20 is: 44,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,885.20 : 97,295.40 = 29,785.20 : x
  2. Step 2: Convert to fraction form
    64,885.20/97,295.40 = 29,785.20/x
  3. Step 3: Cross multiply
    64,885.20x = 97,295.40 × 29,785.20
  4. Step 4: Simplify right side
    64,885.20x = 2,897,962,948.08
  5. Step 5: Solve for x
    x = 2,897,962,948.08/64,885.20
  6. Step 6: Final answer
    x = 44,662.93

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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.