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Finding the Fourth Proportional to 206,152.80, 309,238.55 and 56,389.74

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Solution

The fourth proportional to 206,152.80, 309,238.55 and 56,389.74 is: 84,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,152.80 : 309,238.55 = 56,389.74 : x
  2. Step 2: Convert to fraction form
    206,152.80/309,238.55 = 56,389.74/x
  3. Step 3: Cross multiply
    206,152.80x = 309,238.55 × 56,389.74
  4. Step 4: Simplify right side
    206,152.80x = 17,437,881,150.53
  5. Step 5: Solve for x
    x = 17,437,881,150.53/206,152.80
  6. Step 6: Final answer
    x = 84,587.17

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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.