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Finding the Fourth Proportional to 162,780, 245,279.18 and 133,846

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Solution

The fourth proportional to 162,780, 245,279.18 and 133,846 is: 201,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,780 : 245,279.18 = 133,846 : x
  2. Step 2: Convert to fraction form
    162,780/245,279.18 = 133,846/x
  3. Step 3: Cross multiply
    162,780x = 245,279.18 × 133,846
  4. Step 4: Simplify right side
    162,780x = 32,829,637,126.28
  5. Step 5: Solve for x
    x = 32,829,637,126.28/162,780
  6. Step 6: Final answer
    x = 201,681.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.