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Finding the Fourth Proportional to 151,461, 209,007.65 and 83,477.75

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Solution

The fourth proportional to 151,461, 209,007.65 and 83,477.75 is: 115,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,461 : 209,007.65 = 83,477.75 : x
  2. Step 2: Convert to fraction form
    151,461/209,007.65 = 83,477.75/x
  3. Step 3: Cross multiply
    151,461x = 209,007.65 × 83,477.75
  4. Step 4: Simplify right side
    151,461x = 17,447,488,354.79
  5. Step 5: Solve for x
    x = 17,447,488,354.79/151,461
  6. Step 6: Final answer
    x = 115,194.59

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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.