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Finding the Fourth Proportional to 151,712, 209,362.56 and 84,644

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Solution

The fourth proportional to 151,712, 209,362.56 and 84,644 is: 116,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,712 : 209,362.56 = 84,644 : x
  2. Step 2: Convert to fraction form
    151,712/209,362.56 = 84,644/x
  3. Step 3: Cross multiply
    151,712x = 209,362.56 × 84,644
  4. Step 4: Simplify right side
    151,712x = 17,721,284,528.64
  5. Step 5: Solve for x
    x = 17,721,284,528.64/151,712
  6. Step 6: Final answer
    x = 116,808.72

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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.