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Finding the Fourth Proportional to 152,932, 229,406.64 and 54,436

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Solution

The fourth proportional to 152,932, 229,406.64 and 54,436 is: 81,657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,932 : 229,406.64 = 54,436 : x
  2. Step 2: Convert to fraction form
    152,932/229,406.64 = 54,436/x
  3. Step 3: Cross multiply
    152,932x = 229,406.64 × 54,436
  4. Step 4: Simplify right side
    152,932x = 12,487,979,855.04
  5. Step 5: Solve for x
    x = 12,487,979,855.04/152,932
  6. Step 6: Final answer
    x = 81,657.08

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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.