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Finding the Fourth Proportional to 83,856.96, 125,798.40 and 28,440

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Solution

The fourth proportional to 83,856.96, 125,798.40 and 28,440 is: 42,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,856.96 : 125,798.40 = 28,440 : x
  2. Step 2: Convert to fraction form
    83,856.96/125,798.40 = 28,440/x
  3. Step 3: Cross multiply
    83,856.96x = 125,798.40 × 28,440
  4. Step 4: Simplify right side
    83,856.96x = 3,577,706,496
  5. Step 5: Solve for x
    x = 3,577,706,496/83,856.96
  6. Step 6: Final answer
    x = 42,664.40

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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.