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Finding the Fourth Proportional to 153,869, 230,803.50 and 43,061

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Solution

The fourth proportional to 153,869, 230,803.50 and 43,061 is: 64,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,869 : 230,803.50 = 43,061 : x
  2. Step 2: Convert to fraction form
    153,869/230,803.50 = 43,061/x
  3. Step 3: Cross multiply
    153,869x = 230,803.50 × 43,061
  4. Step 4: Simplify right side
    153,869x = 9,938,629,513.50
  5. Step 5: Solve for x
    x = 9,938,629,513.50/153,869
  6. Step 6: Final answer
    x = 64,591.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.