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Finding the Fourth Proportional to 100,596.79, 150,966.09 and 47,291.20

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Solution

The fourth proportional to 100,596.79, 150,966.09 and 47,291.20 is: 70,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.79 : 150,966.09 = 47,291.20 : x
  2. Step 2: Convert to fraction form
    100,596.79/150,966.09 = 47,291.20/x
  3. Step 3: Cross multiply
    100,596.79x = 150,966.09 × 47,291.20
  4. Step 4: Simplify right side
    100,596.79x = 7,139,366,564.12
  5. Step 5: Solve for x
    x = 7,139,366,564.12/100,596.79
  6. Step 6: Final answer
    x = 70,970.13

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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.