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Finding the Fourth Proportional to 212,902.76, 293,800.02 and 117,407.72

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Solution

The fourth proportional to 212,902.76, 293,800.02 and 117,407.72 is: 162,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,902.76 : 293,800.02 = 117,407.72 : x
  2. Step 2: Convert to fraction form
    212,902.76/293,800.02 = 117,407.72/x
  3. Step 3: Cross multiply
    212,902.76x = 293,800.02 × 117,407.72
  4. Step 4: Simplify right side
    212,902.76x = 34,494,390,484.15
  5. Step 5: Solve for x
    x = 34,494,390,484.15/212,902.76
  6. Step 6: Final answer
    x = 162,019.46

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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.