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Finding the Fourth Proportional to 102,913.90, 154,152.15 and 85,417.90

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Solution

The fourth proportional to 102,913.90, 154,152.15 and 85,417.90 is: 127,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,913.90 : 154,152.15 = 85,417.90 : x
  2. Step 2: Convert to fraction form
    102,913.90/154,152.15 = 85,417.90/x
  3. Step 3: Cross multiply
    102,913.90x = 154,152.15 × 85,417.90
  4. Step 4: Simplify right side
    102,913.90x = 13,167,352,933.49
  5. Step 5: Solve for x
    x = 13,167,352,933.49/102,913.90
  6. Step 6: Final answer
    x = 127,945.33

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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.