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Finding the Fourth Proportional to 153,822.69, 212,274.89 and 85,838.94

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Solution

The fourth proportional to 153,822.69, 212,274.89 and 85,838.94 is: 118,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,822.69 : 212,274.89 = 85,838.94 : x
  2. Step 2: Convert to fraction form
    153,822.69/212,274.89 = 85,838.94/x
  3. Step 3: Cross multiply
    153,822.69x = 212,274.89 × 85,838.94
  4. Step 4: Simplify right side
    153,822.69x = 18,221,451,438.92
  5. Step 5: Solve for x
    x = 18,221,451,438.92/153,822.69
  6. Step 6: Final answer
    x = 118,457.50

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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.