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Finding the Fourth Proportional to 102,920.40, 154,161.90 and 85,424.40

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Solution

The fourth proportional to 102,920.40, 154,161.90 and 85,424.40 is: 127,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,920.40 : 154,161.90 = 85,424.40 : x
  2. Step 2: Convert to fraction form
    102,920.40/154,161.90 = 85,424.40/x
  3. Step 3: Cross multiply
    102,920.40x = 154,161.90 × 85,424.40
  4. Step 4: Simplify right side
    102,920.40x = 13,169,187,810.36
  5. Step 5: Solve for x
    x = 13,169,187,810.36/102,920.40
  6. Step 6: Final answer
    x = 127,955.08

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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.