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Finding the Fourth Proportional to 89,031.93, 133,547.90 and 36,420

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Solution

The fourth proportional to 89,031.93, 133,547.90 and 36,420 is: 54,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031.93 : 133,547.90 = 36,420 : x
  2. Step 2: Convert to fraction form
    89,031.93/133,547.90 = 36,420/x
  3. Step 3: Cross multiply
    89,031.93x = 133,547.90 × 36,420
  4. Step 4: Simplify right side
    89,031.93x = 4,863,814,335.90
  5. Step 5: Solve for x
    x = 4,863,814,335.90/89,031.93
  6. Step 6: Final answer
    x = 54,630

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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.