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Finding the Fourth Proportional to 151,802.25, 209,490.44 and 83,819.04

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Solution

The fourth proportional to 151,802.25, 209,490.44 and 83,819.04 is: 115,672.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,802.25 : 209,490.44 = 83,819.04 : x
  2. Step 2: Convert to fraction form
    151,802.25/209,490.44 = 83,819.04/x
  3. Step 3: Cross multiply
    151,802.25x = 209,490.44 × 83,819.04
  4. Step 4: Simplify right side
    151,802.25x = 17,559,287,569.98
  5. Step 5: Solve for x
    x = 17,559,287,569.98/151,802.25
  6. Step 6: Final answer
    x = 115,672.12

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1.5x scale

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.