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Finding the Fourth Proportional to 151,803.75, 209,492.51 and 83,820.54

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Solution

The fourth proportional to 151,803.75, 209,492.51 and 83,820.54 is: 115,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,803.75 : 209,492.51 = 83,820.54 : x
  2. Step 2: Convert to fraction form
    151,803.75/209,492.51 = 83,820.54/x
  3. Step 3: Cross multiply
    151,803.75x = 209,492.51 × 83,820.54
  4. Step 4: Simplify right side
    151,803.75x = 17,559,774,895.05
  5. Step 5: Solve for x
    x = 17,559,774,895.05/151,803.75
  6. Step 6: Final answer
    x = 115,674.18

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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.