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Finding the Fourth Proportional to 214,567.74, 321,909.69 and 64,812.90

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Solution

The fourth proportional to 214,567.74, 321,909.69 and 64,812.90 is: 97,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,567.74 : 321,909.69 = 64,812.90 : x
  2. Step 2: Convert to fraction form
    214,567.74/321,909.69 = 64,812.90/x
  3. Step 3: Cross multiply
    214,567.74x = 321,909.69 × 64,812.90
  4. Step 4: Simplify right side
    214,567.74x = 20,863,900,547.00
  5. Step 5: Solve for x
    x = 20,863,900,547.00/214,567.74
  6. Step 6: Final answer
    x = 97,236.89

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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.