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Finding the Fourth Proportional to 141,472, 212,221.86 and 51,539.16

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Solution

The fourth proportional to 141,472, 212,221.86 and 51,539.16 is: 77,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,472 : 212,221.86 = 51,539.16 : x
  2. Step 2: Convert to fraction form
    141,472/212,221.86 = 51,539.16/x
  3. Step 3: Cross multiply
    141,472x = 212,221.86 × 51,539.16
  4. Step 4: Simplify right side
    141,472x = 10,937,736,398.04
  5. Step 5: Solve for x
    x = 10,937,736,398.04/141,472
  6. Step 6: Final answer
    x = 77,313.79

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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.