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Finding the Fourth Proportional to 99,897.40, 149,846.10 and 53,241.40

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Solution

The fourth proportional to 99,897.40, 149,846.10 and 53,241.40 is: 79,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,897.40 : 149,846.10 = 53,241.40 : x
  2. Step 2: Convert to fraction form
    99,897.40/149,846.10 = 53,241.40/x
  3. Step 3: Cross multiply
    99,897.40x = 149,846.10 × 53,241.40
  4. Step 4: Simplify right side
    99,897.40x = 7,978,016,148.54
  5. Step 5: Solve for x
    x = 7,978,016,148.54/99,897.40
  6. Step 6: Final answer
    x = 79,862.10

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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.