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Finding the Fourth Proportional to 207,031.84, 310,479.68 and 64,876.80

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Solution

The fourth proportional to 207,031.84, 310,479.68 and 64,876.80 is: 97,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,031.84 : 310,479.68 = 64,876.80 : x
  2. Step 2: Convert to fraction form
    207,031.84/310,479.68 = 64,876.80/x
  3. Step 3: Cross multiply
    207,031.84x = 310,479.68 × 64,876.80
  4. Step 4: Simplify right side
    207,031.84x = 20,142,928,103.42
  5. Step 5: Solve for x
    x = 20,142,928,103.42/207,031.84
  6. Step 6: Final answer
    x = 97,293.87

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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.