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Finding the Fourth Proportional to 355,103.40, 532,655.10 and 105,785.40

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Solution

The fourth proportional to 355,103.40, 532,655.10 and 105,785.40 is: 158,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,103.40 : 532,655.10 = 105,785.40 : x
  2. Step 2: Convert to fraction form
    355,103.40/532,655.10 = 105,785.40/x
  3. Step 3: Cross multiply
    355,103.40x = 532,655.10 × 105,785.40
  4. Step 4: Simplify right side
    355,103.40x = 56,347,132,815.54
  5. Step 5: Solve for x
    x = 56,347,132,815.54/355,103.40
  6. Step 6: Final answer
    x = 158,678.10

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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.