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Finding the Fourth Proportional to 211,957.80, 318,045.72 and 117,170.28

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Solution

The fourth proportional to 211,957.80, 318,045.72 and 117,170.28 is: 175,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,957.80 : 318,045.72 = 117,170.28 : x
  2. Step 2: Convert to fraction form
    211,957.80/318,045.72 = 117,170.28/x
  3. Step 3: Cross multiply
    211,957.80x = 318,045.72 × 117,170.28
  4. Step 4: Simplify right side
    211,957.80x = 37,265,506,065.20
  5. Step 5: Solve for x
    x = 37,265,506,065.20/211,957.80
  6. Step 6: Final answer
    x = 175,815.69

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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.