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Finding the Fourth Proportional to 210,711.66, 316,043.16 and 52,928.10

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Solution

The fourth proportional to 210,711.66, 316,043.16 and 52,928.10 is: 79,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,711.66 : 316,043.16 = 52,928.10 : x
  2. Step 2: Convert to fraction form
    210,711.66/316,043.16 = 52,928.10/x
  3. Step 3: Cross multiply
    210,711.66x = 316,043.16 × 52,928.10
  4. Step 4: Simplify right side
    210,711.66x = 16,727,563,976.80
  5. Step 5: Solve for x
    x = 16,727,563,976.80/210,711.66
  6. Step 6: Final answer
    x = 79,386.04

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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.