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Finding the Fourth Proportional to 102,657.90, 154,036.02 and 50,038.68

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Solution

The fourth proportional to 102,657.90, 154,036.02 and 50,038.68 is: 75,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,657.90 : 154,036.02 = 50,038.68 : x
  2. Step 2: Convert to fraction form
    102,657.90/154,036.02 = 50,038.68/x
  3. Step 3: Cross multiply
    102,657.90x = 154,036.02 × 50,038.68
  4. Step 4: Simplify right side
    102,657.90x = 7,707,759,113.25
  5. Step 5: Solve for x
    x = 7,707,759,113.25/102,657.90
  6. Step 6: Final answer
    x = 75,081.99

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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.