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Finding the Fourth Proportional to 256,070.84, 384,106.32 and 87,592.77

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Solution

The fourth proportional to 256,070.84, 384,106.32 and 87,592.77 is: 131,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,070.84 : 384,106.32 = 87,592.77 : x
  2. Step 2: Convert to fraction form
    256,070.84/384,106.32 = 87,592.77/x
  3. Step 3: Cross multiply
    256,070.84x = 384,106.32 × 87,592.77
  4. Step 4: Simplify right side
    256,070.84x = 33,644,936,543.31
  5. Step 5: Solve for x
    x = 33,644,936,543.31/256,070.84
  6. Step 6: Final answer
    x = 131,389.18

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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.