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Finding the Fourth Proportional to 256,802.40, 384,994.69 and 107,154.16

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Solution

The fourth proportional to 256,802.40, 384,994.69 and 107,154.16 is: 160,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,802.40 : 384,994.69 = 107,154.16 : x
  2. Step 2: Convert to fraction form
    256,802.40/384,994.69 = 107,154.16/x
  3. Step 3: Cross multiply
    256,802.40x = 384,994.69 × 107,154.16
  4. Step 4: Simplify right side
    256,802.40x = 41,253,781,381.04
  5. Step 5: Solve for x
    x = 41,253,781,381.04/256,802.40
  6. Step 6: Final answer
    x = 160,644.06

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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.