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Finding the Fourth Proportional to 72,946.16, 100,665.68 and 39,412.16

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Solution

The fourth proportional to 72,946.16, 100,665.68 and 39,412.16 is: 54,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946.16 : 100,665.68 = 39,412.16 : x
  2. Step 2: Convert to fraction form
    72,946.16/100,665.68 = 39,412.16/x
  3. Step 3: Cross multiply
    72,946.16x = 100,665.68 × 39,412.16
  4. Step 4: Simplify right side
    72,946.16x = 3,967,451,886.67
  5. Step 5: Solve for x
    x = 3,967,451,886.67/72,946.16
  6. Step 6: Final answer
    x = 54,388.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.