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Finding the Fourth Proportional to 142,069.16, 213,095.94 and 85,894.19

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Solution

The fourth proportional to 142,069.16, 213,095.94 and 85,894.19 is: 128,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,069.16 : 213,095.94 = 85,894.19 : x
  2. Step 2: Convert to fraction form
    142,069.16/213,095.94 = 85,894.19/x
  3. Step 3: Cross multiply
    142,069.16x = 213,095.94 × 85,894.19
  4. Step 4: Simplify right side
    142,069.16x = 18,303,702,093.11
  5. Step 5: Solve for x
    x = 18,303,702,093.11/142,069.16
  6. Step 6: Final answer
    x = 128,836.57

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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.