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Finding the Fourth Proportional to 265,812.90, 398,581.65 and 78,800.10

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Solution

The fourth proportional to 265,812.90, 398,581.65 and 78,800.10 is: 118,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,812.90 : 398,581.65 = 78,800.10 : x
  2. Step 2: Convert to fraction form
    265,812.90/398,581.65 = 78,800.10/x
  3. Step 3: Cross multiply
    265,812.90x = 398,581.65 × 78,800.10
  4. Step 4: Simplify right side
    265,812.90x = 31,408,273,878.17
  5. Step 5: Solve for x
    x = 31,408,273,878.17/265,812.90
  6. Step 6: Final answer
    x = 118,159.33

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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.