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Finding the Fourth Proportional to 212,661.40, 319,337.70 and 153,909.40

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Solution

The fourth proportional to 212,661.40, 319,337.70 and 153,909.40 is: 231,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,661.40 : 319,337.70 = 153,909.40 : x
  2. Step 2: Convert to fraction form
    212,661.40/319,337.70 = 153,909.40/x
  3. Step 3: Cross multiply
    212,661.40x = 319,337.70 × 153,909.40
  4. Step 4: Simplify right side
    212,661.40x = 49,149,073,804.38
  5. Step 5: Solve for x
    x = 49,149,073,804.38/212,661.40
  6. Step 6: Final answer
    x = 231,114.22

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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.