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Finding the Fourth Proportional to 210,884.01, 316,329.68 and 77,695.71

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Solution

The fourth proportional to 210,884.01, 316,329.68 and 77,695.71 is: 116,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,884.01 : 316,329.68 = 77,695.71 : x
  2. Step 2: Convert to fraction form
    210,884.01/316,329.68 = 77,695.71/x
  3. Step 3: Cross multiply
    210,884.01x = 316,329.68 × 77,695.71
  4. Step 4: Simplify right side
    210,884.01x = 24,577,459,081.67
  5. Step 5: Solve for x
    x = 24,577,459,081.67/210,884.01
  6. Step 6: Final answer
    x = 116,544.92

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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.