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Finding the Fourth Proportional to 151,767.68, 209,460.52 and 84,704

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Solution

The fourth proportional to 151,767.68, 209,460.52 and 84,704 is: 116,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,767.68 : 209,460.52 = 84,704 : x
  2. Step 2: Convert to fraction form
    151,767.68/209,460.52 = 84,704/x
  3. Step 3: Cross multiply
    151,767.68x = 209,460.52 × 84,704
  4. Step 4: Simplify right side
    151,767.68x = 17,742,143,886.08
  5. Step 5: Solve for x
    x = 17,742,143,886.08/151,767.68
  6. Step 6: Final answer
    x = 116,903.31

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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.