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Finding the Fourth Proportional to 164,045.76, 245,513.03 and 100,905.85

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Solution

The fourth proportional to 164,045.76, 245,513.03 and 100,905.85 is: 151,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,045.76 : 245,513.03 = 100,905.85 : x
  2. Step 2: Convert to fraction form
    164,045.76/245,513.03 = 100,905.85/x
  3. Step 3: Cross multiply
    164,045.76x = 245,513.03 × 100,905.85
  4. Step 4: Simplify right side
    164,045.76x = 24,773,700,780.59
  5. Step 5: Solve for x
    x = 24,773,700,780.59/164,045.76
  6. Step 6: Final answer
    x = 151,017.02

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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.