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Finding the Fourth Proportional to 77,507, 116,261.62 and 22,103

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Solution

The fourth proportional to 77,507, 116,261.62 and 22,103 is: 33,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,507 : 116,261.62 = 22,103 : x
  2. Step 2: Convert to fraction form
    77,507/116,261.62 = 22,103/x
  3. Step 3: Cross multiply
    77,507x = 116,261.62 × 22,103
  4. Step 4: Simplify right side
    77,507x = 2,569,730,586.86
  5. Step 5: Solve for x
    x = 2,569,730,586.86/77,507
  6. Step 6: Final answer
    x = 33,154.82

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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.