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Finding the Fourth Proportional to 129,528, 178,826.40 and 84,893.76

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Solution

The fourth proportional to 129,528, 178,826.40 and 84,893.76 is: 117,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,528 : 178,826.40 = 84,893.76 : x
  2. Step 2: Convert to fraction form
    129,528/178,826.40 = 84,893.76/x
  3. Step 3: Cross multiply
    129,528x = 178,826.40 × 84,893.76
  4. Step 4: Simplify right side
    129,528x = 15,181,245,483.26
  5. Step 5: Solve for x
    x = 15,181,245,483.26/129,528
  6. Step 6: Final answer
    x = 117,204.35

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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.