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Finding the Fourth Proportional to 164,665.32, 247,392 and 105,616.32

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Solution

The fourth proportional to 164,665.32, 247,392 and 105,616.32 is: 158,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,665.32 : 247,392 = 105,616.32 : x
  2. Step 2: Convert to fraction form
    164,665.32/247,392 = 105,616.32/x
  3. Step 3: Cross multiply
    164,665.32x = 247,392 × 105,616.32
  4. Step 4: Simplify right side
    164,665.32x = 26,128,632,637.44
  5. Step 5: Solve for x
    x = 26,128,632,637.44/164,665.32
  6. Step 6: Final answer
    x = 158,677.20

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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.