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Finding the Fourth Proportional to 142,068.66, 213,095.19 and 85,893.69

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Solution

The fourth proportional to 142,068.66, 213,095.19 and 85,893.69 is: 128,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,068.66 : 213,095.19 = 85,893.69 : x
  2. Step 2: Convert to fraction form
    142,068.66/213,095.19 = 85,893.69/x
  3. Step 3: Cross multiply
    142,068.66x = 213,095.19 × 85,893.69
  4. Step 4: Simplify right side
    142,068.66x = 18,303,532,190.35
  5. Step 5: Solve for x
    x = 18,303,532,190.35/142,068.66
  6. Step 6: Final answer
    x = 128,835.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.