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Finding the Fourth Proportional to 70,282.50, 105,421.02 and 30,840

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Solution

The fourth proportional to 70,282.50, 105,421.02 and 30,840 is: 46,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.50 : 105,421.02 = 30,840 : x
  2. Step 2: Convert to fraction form
    70,282.50/105,421.02 = 30,840/x
  3. Step 3: Cross multiply
    70,282.50x = 105,421.02 × 30,840
  4. Step 4: Simplify right side
    70,282.50x = 3,251,184,256.80
  5. Step 5: Solve for x
    x = 3,251,184,256.80/70,282.50
  6. Step 6: Final answer
    x = 46,258.80

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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.