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Finding the Fourth Proportional to 70,863.08, 106,312.98 and 20,941.16

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Solution

The fourth proportional to 70,863.08, 106,312.98 and 20,941.16 is: 31,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,863.08 : 106,312.98 = 20,941.16 : x
  2. Step 2: Convert to fraction form
    70,863.08/106,312.98 = 20,941.16/x
  3. Step 3: Cross multiply
    70,863.08x = 106,312.98 × 20,941.16
  4. Step 4: Simplify right side
    70,863.08x = 2,226,317,124.26
  5. Step 5: Solve for x
    x = 2,226,317,124.26/70,863.08
  6. Step 6: Final answer
    x = 31,417.17

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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.