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Finding the Fourth Proportional to 161,397.93, 241,993.04 and 77,156.21

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Solution

The fourth proportional to 161,397.93, 241,993.04 and 77,156.21 is: 115,684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,397.93 : 241,993.04 = 77,156.21 : x
  2. Step 2: Convert to fraction form
    161,397.93/241,993.04 = 77,156.21/x
  3. Step 3: Cross multiply
    161,397.93x = 241,993.04 × 77,156.21
  4. Step 4: Simplify right side
    161,397.93x = 18,671,266,031.98
  5. Step 5: Solve for x
    x = 18,671,266,031.98/161,397.93
  6. Step 6: Final answer
    x = 115,684.67

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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.