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Finding the Fourth Proportional to 211,006.64, 316,509.95 and 70,764.86

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Solution

The fourth proportional to 211,006.64, 316,509.95 and 70,764.86 is: 106,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,006.64 : 316,509.95 = 70,764.86 : x
  2. Step 2: Convert to fraction form
    211,006.64/316,509.95 = 70,764.86/x
  3. Step 3: Cross multiply
    211,006.64x = 316,509.95 × 70,764.86
  4. Step 4: Simplify right side
    211,006.64x = 22,397,780,894.72
  5. Step 5: Solve for x
    x = 22,397,780,894.72/211,006.64
  6. Step 6: Final answer
    x = 106,147.28

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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.