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Finding the Fourth Proportional to 103,047.30, 154,542.40 and 36,478.68

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Solution

The fourth proportional to 103,047.30, 154,542.40 and 36,478.68 is: 54,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,047.30 : 154,542.40 = 36,478.68 : x
  2. Step 2: Convert to fraction form
    103,047.30/154,542.40 = 36,478.68/x
  3. Step 3: Cross multiply
    103,047.30x = 154,542.40 × 36,478.68
  4. Step 4: Simplify right side
    103,047.30x = 5,637,502,756.03
  5. Step 5: Solve for x
    x = 5,637,502,756.03/103,047.30
  6. Step 6: Final answer
    x = 54,707.91

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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.