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Finding the Fourth Proportional to 100,855.90, 145,419.12 and 100,855.90

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Solution

The fourth proportional to 100,855.90, 145,419.12 and 100,855.90 is: 145,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,855.90 : 145,419.12 = 100,855.90 : x
  2. Step 2: Convert to fraction form
    100,855.90/145,419.12 = 100,855.90/x
  3. Step 3: Cross multiply
    100,855.90x = 145,419.12 × 100,855.90
  4. Step 4: Simplify right side
    100,855.90x = 14,666,376,224.81
  5. Step 5: Solve for x
    x = 14,666,376,224.81/100,855.90
  6. Step 6: Final answer
    x = 145,419.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.