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Finding the Fourth Proportional to 153,733, 212,326.50 and 103,344.52

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Solution

The fourth proportional to 153,733, 212,326.50 and 103,344.52 is: 142,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,733 : 212,326.50 = 103,344.52 : x
  2. Step 2: Convert to fraction form
    153,733/212,326.50 = 103,344.52/x
  3. Step 3: Cross multiply
    153,733x = 212,326.50 × 103,344.52
  4. Step 4: Simplify right side
    153,733x = 21,942,780,225.78
  5. Step 5: Solve for x
    x = 21,942,780,225.78/153,733
  6. Step 6: Final answer
    x = 142,733.05

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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.