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Finding the Fourth Proportional to 281,089.60, 421,686.24 and 89,012.48

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Solution

The fourth proportional to 281,089.60, 421,686.24 and 89,012.48 is: 133,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,089.60 : 421,686.24 = 89,012.48 : x
  2. Step 2: Convert to fraction form
    281,089.60/421,686.24 = 89,012.48/x
  3. Step 3: Cross multiply
    281,089.60x = 421,686.24 × 89,012.48
  4. Step 4: Simplify right side
    281,089.60x = 37,535,338,004.28
  5. Step 5: Solve for x
    x = 37,535,338,004.28/281,089.60
  6. Step 6: Final answer
    x = 133,535.14

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1.5x scale

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.