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Finding the Fourth Proportional to 137,031.80, 205,547.70 and 37,207.40

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Solution

The fourth proportional to 137,031.80, 205,547.70 and 37,207.40 is: 55,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,031.80 : 205,547.70 = 37,207.40 : x
  2. Step 2: Convert to fraction form
    137,031.80/205,547.70 = 37,207.40/x
  3. Step 3: Cross multiply
    137,031.80x = 205,547.70 × 37,207.40
  4. Step 4: Simplify right side
    137,031.80x = 7,647,895,492.98
  5. Step 5: Solve for x
    x = 7,647,895,492.98/137,031.80
  6. Step 6: Final answer
    x = 55,811.10

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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.