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Finding the Fourth Proportional to 151,470, 209,032.92 and 84,406.32

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Solution

The fourth proportional to 151,470, 209,032.92 and 84,406.32 is: 116,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,470 : 209,032.92 = 84,406.32 : x
  2. Step 2: Convert to fraction form
    151,470/209,032.92 = 84,406.32/x
  3. Step 3: Cross multiply
    151,470x = 209,032.92 × 84,406.32
  4. Step 4: Simplify right side
    151,470x = 17,643,699,536.05
  5. Step 5: Solve for x
    x = 17,643,699,536.05/151,470
  6. Step 6: Final answer
    x = 116,483.13

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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.