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Finding the Fourth Proportional to 151,373.16, 208,894.82 and 84,305

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Solution

The fourth proportional to 151,373.16, 208,894.82 and 84,305 is: 116,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,373.16 : 208,894.82 = 84,305 : x
  2. Step 2: Convert to fraction form
    151,373.16/208,894.82 = 84,305/x
  3. Step 3: Cross multiply
    151,373.16x = 208,894.82 × 84,305
  4. Step 4: Simplify right side
    151,373.16x = 17,610,877,800.10
  5. Step 5: Solve for x
    x = 17,610,877,800.10/151,373.16
  6. Step 6: Final answer
    x = 116,340.82

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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.