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Finding the Fourth Proportional to 129,442.51, 178,588.95 and 72,842.95

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Solution

The fourth proportional to 129,442.51, 178,588.95 and 72,842.95 is: 100,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,442.51 : 178,588.95 = 72,842.95 : x
  2. Step 2: Convert to fraction form
    129,442.51/178,588.95 = 72,842.95/x
  3. Step 3: Cross multiply
    129,442.51x = 178,588.95 × 72,842.95
  4. Step 4: Simplify right side
    129,442.51x = 13,008,945,955.40
  5. Step 5: Solve for x
    x = 13,008,945,955.40/129,442.51
  6. Step 6: Final answer
    x = 100,499.80

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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.