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Finding the Fourth Proportional to 151,423.80, 208,974.14 and 83,440.74

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Solution

The fourth proportional to 151,423.80, 208,974.14 and 83,440.74 is: 115,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,423.80 : 208,974.14 = 83,440.74 : x
  2. Step 2: Convert to fraction form
    151,423.80/208,974.14 = 83,440.74/x
  3. Step 3: Cross multiply
    151,423.80x = 208,974.14 × 83,440.74
  4. Step 4: Simplify right side
    151,423.80x = 17,436,955,994.51
  5. Step 5: Solve for x
    x = 17,436,955,994.51/151,423.80
  6. Step 6: Final answer
    x = 115,153.34

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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.