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Finding the Fourth Proportional to 265,572.85, 398,421.43 and 105,657.83

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Solution

The fourth proportional to 265,572.85, 398,421.43 and 105,657.83 is: 158,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,572.85 : 398,421.43 = 105,657.83 : x
  2. Step 2: Convert to fraction form
    265,572.85/398,421.43 = 105,657.83/x
  3. Step 3: Cross multiply
    265,572.85x = 398,421.43 × 105,657.83
  4. Step 4: Simplify right side
    265,572.85x = 42,096,343,719.30
  5. Step 5: Solve for x
    x = 42,096,343,719.30/265,572.85
  6. Step 6: Final answer
    x = 158,511.47

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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.