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Finding the Fourth Proportional to 100,036.32, 149,887.87 and 70,391.87

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Solution

The fourth proportional to 100,036.32, 149,887.87 and 70,391.87 is: 105,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,036.32 : 149,887.87 = 70,391.87 : x
  2. Step 2: Convert to fraction form
    100,036.32/149,887.87 = 70,391.87/x
  3. Step 3: Cross multiply
    100,036.32x = 149,887.87 × 70,391.87
  4. Step 4: Simplify right side
    100,036.32x = 10,550,887,492.23
  5. Step 5: Solve for x
    x = 10,550,887,492.23/100,036.32
  6. Step 6: Final answer
    x = 105,470.57

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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.