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Finding the Fourth Proportional to 189,384.80, 284,089.25 and 77,003.59

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Solution

The fourth proportional to 189,384.80, 284,089.25 and 77,003.59 is: 115,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,384.80 : 284,089.25 = 77,003.59 : x
  2. Step 2: Convert to fraction form
    189,384.80/284,089.25 = 77,003.59/x
  3. Step 3: Cross multiply
    189,384.80x = 284,089.25 × 77,003.59
  4. Step 4: Simplify right side
    189,384.80x = 21,875,891,129.79
  5. Step 5: Solve for x
    x = 21,875,891,129.79/189,384.80
  6. Step 6: Final answer
    x = 115,510.28

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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.