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Finding the Fourth Proportional to 151,607.84, 209,214 and 83,624.72

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Solution

The fourth proportional to 151,607.84, 209,214 and 83,624.72 is: 115,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,607.84 : 209,214 = 83,624.72 : x
  2. Step 2: Convert to fraction form
    151,607.84/209,214 = 83,624.72/x
  3. Step 3: Cross multiply
    151,607.84x = 209,214 × 83,624.72
  4. Step 4: Simplify right side
    151,607.84x = 17,495,462,170.08
  5. Step 5: Solve for x
    x = 17,495,462,170.08/151,607.84
  6. Step 6: Final answer
    x = 115,399.46

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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.