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Finding the Fourth Proportional to 199,838.72, 299,220.92 and 152,227

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Solution

The fourth proportional to 199,838.72, 299,220.92 and 152,227 is: 227,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,838.72 : 299,220.92 = 152,227 : x
  2. Step 2: Convert to fraction form
    199,838.72/299,220.92 = 152,227/x
  3. Step 3: Cross multiply
    199,838.72x = 299,220.92 × 152,227
  4. Step 4: Simplify right side
    199,838.72x = 45,549,502,988.84
  5. Step 5: Solve for x
    x = 45,549,502,988.84/199,838.72
  6. Step 6: Final answer
    x = 227,931.32

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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.