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Finding the Fourth Proportional to 191,712.12, 287,696.16 and 67,053.12

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Solution

The fourth proportional to 191,712.12, 287,696.16 and 67,053.12 is: 100,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,712.12 : 287,696.16 = 67,053.12 : x
  2. Step 2: Convert to fraction form
    191,712.12/287,696.16 = 67,053.12/x
  3. Step 3: Cross multiply
    191,712.12x = 287,696.16 × 67,053.12
  4. Step 4: Simplify right side
    191,712.12x = 19,290,925,140.02
  5. Step 5: Solve for x
    x = 19,290,925,140.02/191,712.12
  6. Step 6: Final answer
    x = 100,624.44

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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.