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Finding the Fourth Proportional to 77,353, 116,038.68 and 27,438.06

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Solution

The fourth proportional to 77,353, 116,038.68 and 27,438.06 is: 41,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,353 : 116,038.68 = 27,438.06 : x
  2. Step 2: Convert to fraction form
    77,353/116,038.68 = 27,438.06/x
  3. Step 3: Cross multiply
    77,353x = 116,038.68 × 27,438.06
  4. Step 4: Simplify right side
    77,353x = 3,183,876,264.16
  5. Step 5: Solve for x
    x = 3,183,876,264.16/77,353
  6. Step 6: Final answer
    x = 41,160.35

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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.