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Finding the Fourth Proportional to 74,322.78, 102,564.91 and 40,330.40

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Solution

The fourth proportional to 74,322.78, 102,564.91 and 40,330.40 is: 55,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,322.78 : 102,564.91 = 40,330.40 : x
  2. Step 2: Convert to fraction form
    74,322.78/102,564.91 = 40,330.40/x
  3. Step 3: Cross multiply
    74,322.78x = 102,564.91 × 40,330.40
  4. Step 4: Simplify right side
    74,322.78x = 4,136,484,001.85
  5. Step 5: Solve for x
    x = 4,136,484,001.85/74,322.78
  6. Step 6: Final answer
    x = 55,655.67

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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.