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Finding the Fourth Proportional to 151,314, 208,819.80 and 84,246

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Solution

The fourth proportional to 151,314, 208,819.80 and 84,246 is: 116,263.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,314 : 208,819.80 = 84,246 : x
  2. Step 2: Convert to fraction form
    151,314/208,819.80 = 84,246/x
  3. Step 3: Cross multiply
    151,314x = 208,819.80 × 84,246
  4. Step 4: Simplify right side
    151,314x = 17,592,232,870.80
  5. Step 5: Solve for x
    x = 17,592,232,870.80/151,314
  6. Step 6: Final answer
    x = 116,263.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.