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Finding the Fourth Proportional to 78,125.19, 117,031.04 and 35,946.51

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Solution

The fourth proportional to 78,125.19, 117,031.04 and 35,946.51 is: 53,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.19 : 117,031.04 = 35,946.51 : x
  2. Step 2: Convert to fraction form
    78,125.19/117,031.04 = 35,946.51/x
  3. Step 3: Cross multiply
    78,125.19x = 117,031.04 × 35,946.51
  4. Step 4: Simplify right side
    78,125.19x = 4,206,857,449.67
  5. Step 5: Solve for x
    x = 4,206,857,449.67/78,125.19
  6. Step 6: Final answer
    x = 53,847.64

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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.