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Finding the Fourth Proportional to 189,602.51, 284,333.99 and 77,221.70

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Solution

The fourth proportional to 189,602.51, 284,333.99 and 77,221.70 is: 115,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,602.51 : 284,333.99 = 77,221.70 : x
  2. Step 2: Convert to fraction form
    189,602.51/284,333.99 = 77,221.70/x
  3. Step 3: Cross multiply
    189,602.51x = 284,333.99 × 77,221.70
  4. Step 4: Simplify right side
    189,602.51x = 21,956,752,267.80
  5. Step 5: Solve for x
    x = 21,956,752,267.80/189,602.51
  6. Step 6: Final answer
    x = 115,804.13

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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.