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Finding the Fourth Proportional to 103,539.40, 155,309.10 and 99,165.40

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Solution

The fourth proportional to 103,539.40, 155,309.10 and 99,165.40 is: 148,748.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,539.40 : 155,309.10 = 99,165.40 : x
  2. Step 2: Convert to fraction form
    103,539.40/155,309.10 = 99,165.40/x
  3. Step 3: Cross multiply
    103,539.40x = 155,309.10 × 99,165.40
  4. Step 4: Simplify right side
    103,539.40x = 15,401,289,025.14
  5. Step 5: Solve for x
    x = 15,401,289,025.14/103,539.40
  6. Step 6: Final answer
    x = 148,748.10

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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.