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Finding the Fourth Proportional to 103,184.80, 154,656.24 and 47,664.16

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Solution

The fourth proportional to 103,184.80, 154,656.24 and 47,664.16 is: 71,440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,184.80 : 154,656.24 = 47,664.16 : x
  2. Step 2: Convert to fraction form
    103,184.80/154,656.24 = 47,664.16/x
  3. Step 3: Cross multiply
    103,184.80x = 154,656.24 × 47,664.16
  4. Step 4: Simplify right side
    103,184.80x = 7,371,559,768.36
  5. Step 5: Solve for x
    x = 7,371,559,768.36/103,184.80
  6. Step 6: Final answer
    x = 71,440.36

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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.