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Finding the Fourth Proportional to 281,057.76, 421,752.60 and 103,688.64

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Solution

The fourth proportional to 281,057.76, 421,752.60 and 103,688.64 is: 155,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,057.76 : 421,752.60 = 103,688.64 : x
  2. Step 2: Convert to fraction form
    281,057.76/421,752.60 = 103,688.64/x
  3. Step 3: Cross multiply
    281,057.76x = 421,752.60 × 103,688.64
  4. Step 4: Simplify right side
    281,057.76x = 43,730,953,510.46
  5. Step 5: Solve for x
    x = 43,730,953,510.46/281,057.76
  6. Step 6: Final answer
    x = 155,594.19

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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.