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Finding the Fourth Proportional to 151,376, 208,898.88 and 84,308

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Solution

The fourth proportional to 151,376, 208,898.88 and 84,308 is: 116,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,376 : 208,898.88 = 84,308 : x
  2. Step 2: Convert to fraction form
    151,376/208,898.88 = 84,308/x
  3. Step 3: Cross multiply
    151,376x = 208,898.88 × 84,308
  4. Step 4: Simplify right side
    151,376x = 17,611,846,775.04
  5. Step 5: Solve for x
    x = 17,611,846,775.04/151,376
  6. Step 6: Final answer
    x = 116,345.04

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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.