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Finding the Fourth Proportional to 70,070.40, 105,073.20 and 30,607.20

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Solution

The fourth proportional to 70,070.40, 105,073.20 and 30,607.20 is: 45,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,070.40 : 105,073.20 = 30,607.20 : x
  2. Step 2: Convert to fraction form
    70,070.40/105,073.20 = 30,607.20/x
  3. Step 3: Cross multiply
    70,070.40x = 105,073.20 × 30,607.20
  4. Step 4: Simplify right side
    70,070.40x = 3,215,996,447.04
  5. Step 5: Solve for x
    x = 3,215,996,447.04/70,070.40
  6. Step 6: Final answer
    x = 45,896.65

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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.