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Finding the Fourth Proportional to 256,421.30, 384,703.05 and 106,732.10

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Solution

The fourth proportional to 256,421.30, 384,703.05 and 106,732.10 is: 160,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,421.30 : 384,703.05 = 106,732.10 : x
  2. Step 2: Convert to fraction form
    256,421.30/384,703.05 = 106,732.10/x
  3. Step 3: Cross multiply
    256,421.30x = 384,703.05 × 106,732.10
  4. Step 4: Simplify right side
    256,421.30x = 41,060,164,402.91
  5. Step 5: Solve for x
    x = 41,060,164,402.91/256,421.30
  6. Step 6: Final answer
    x = 160,127.74

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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.