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Finding the Fourth Proportional to 129,588, 178,909.20 and 84,953.76

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Solution

The fourth proportional to 129,588, 178,909.20 and 84,953.76 is: 117,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,588 : 178,909.20 = 84,953.76 : x
  2. Step 2: Convert to fraction form
    129,588/178,909.20 = 84,953.76/x
  3. Step 3: Cross multiply
    129,588x = 178,909.20 × 84,953.76
  4. Step 4: Simplify right side
    129,588x = 15,199,009,238.59
  5. Step 5: Solve for x
    x = 15,199,009,238.59/129,588
  6. Step 6: Final answer
    x = 117,287.17

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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.