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Finding the Fourth Proportional to 211,129.76, 316,740.72 and 70,884.68

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Solution

The fourth proportional to 211,129.76, 316,740.72 and 70,884.68 is: 106,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,129.76 : 316,740.72 = 70,884.68 : x
  2. Step 2: Convert to fraction form
    211,129.76/316,740.72 = 70,884.68/x
  3. Step 3: Cross multiply
    211,129.76x = 316,740.72 × 70,884.68
  4. Step 4: Simplify right side
    211,129.76x = 22,452,064,580.17
  5. Step 5: Solve for x
    x = 22,452,064,580.17/211,129.76
  6. Step 6: Final answer
    x = 106,342.49

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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.