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Finding the Fourth Proportional to 197,645, 296,498.22 and 66,347.72

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Solution

The fourth proportional to 197,645, 296,498.22 and 66,347.72 is: 99,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,645 : 296,498.22 = 66,347.72 : x
  2. Step 2: Convert to fraction form
    197,645/296,498.22 = 66,347.72/x
  3. Step 3: Cross multiply
    197,645x = 296,498.22 × 66,347.72
  4. Step 4: Simplify right side
    197,645x = 19,671,980,881.06
  5. Step 5: Solve for x
    x = 19,671,980,881.06/197,645
  6. Step 6: Final answer
    x = 99,531.89

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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.