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Finding the Fourth Proportional to 132,697.84, 183,139.78 and 76,108

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Solution

The fourth proportional to 132,697.84, 183,139.78 and 76,108 is: 105,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,697.84 : 183,139.78 = 76,108 : x
  2. Step 2: Convert to fraction form
    132,697.84/183,139.78 = 76,108/x
  3. Step 3: Cross multiply
    132,697.84x = 183,139.78 × 76,108
  4. Step 4: Simplify right side
    132,697.84x = 13,938,402,376.24
  5. Step 5: Solve for x
    x = 13,938,402,376.24/132,697.84
  6. Step 6: Final answer
    x = 105,038.65

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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.