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Finding the Fourth Proportional to 70,931.40, 106,412.91 and 30,956.85

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Solution

The fourth proportional to 70,931.40, 106,412.91 and 30,956.85 is: 46,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,931.40 : 106,412.91 = 30,956.85 : x
  2. Step 2: Convert to fraction form
    70,931.40/106,412.91 = 30,956.85/x
  3. Step 3: Cross multiply
    70,931.40x = 106,412.91 × 30,956.85
  4. Step 4: Simplify right side
    70,931.40x = 3,294,208,492.93
  5. Step 5: Solve for x
    x = 3,294,208,492.93/70,931.40
  6. Step 6: Final answer
    x = 46,442.18

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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.