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Finding the Fourth Proportional to 129,690, 179,045.64 and 84,407.76

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Solution

The fourth proportional to 129,690, 179,045.64 and 84,407.76 is: 116,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,690 : 179,045.64 = 84,407.76 : x
  2. Step 2: Convert to fraction form
    129,690/179,045.64 = 84,407.76/x
  3. Step 3: Cross multiply
    129,690x = 179,045.64 × 84,407.76
  4. Step 4: Simplify right side
    129,690x = 15,112,841,410.17
  5. Step 5: Solve for x
    x = 15,112,841,410.17/129,690
  6. Step 6: Final answer
    x = 116,530.51

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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.