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Finding the Fourth Proportional to 109,036, 163,455.40 and 38,898.64

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Solution

The fourth proportional to 109,036, 163,455.40 and 38,898.64 is: 58,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,036 : 163,455.40 = 38,898.64 : x
  2. Step 2: Convert to fraction form
    109,036/163,455.40 = 38,898.64/x
  3. Step 3: Cross multiply
    109,036x = 163,455.40 × 38,898.64
  4. Step 4: Simplify right side
    109,036x = 6,358,192,760.66
  5. Step 5: Solve for x
    x = 6,358,192,760.66/109,036
  6. Step 6: Final answer
    x = 58,312.78

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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.