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Finding the Fourth Proportional to 108,509.79, 149,795.40 and 72,271.50

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Solution

The fourth proportional to 108,509.79, 149,795.40 and 72,271.50 is: 99,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,509.79 : 149,795.40 = 72,271.50 : x
  2. Step 2: Convert to fraction form
    108,509.79/149,795.40 = 72,271.50/x
  3. Step 3: Cross multiply
    108,509.79x = 149,795.40 × 72,271.50
  4. Step 4: Simplify right side
    108,509.79x = 10,825,938,251.10
  5. Step 5: Solve for x
    x = 10,825,938,251.10/108,509.79
  6. Step 6: Final answer
    x = 99,769.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.