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Finding the Fourth Proportional to 208,459.77, 312,686.31 and 66,302.98

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Solution

The fourth proportional to 208,459.77, 312,686.31 and 66,302.98 is: 99,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,459.77 : 312,686.31 = 66,302.98 : x
  2. Step 2: Convert to fraction form
    208,459.77/312,686.31 = 66,302.98/x
  3. Step 3: Cross multiply
    208,459.77x = 312,686.31 × 66,302.98
  4. Step 4: Simplify right side
    208,459.77x = 20,732,034,158.20
  5. Step 5: Solve for x
    x = 20,732,034,158.20/208,459.77
  6. Step 6: Final answer
    x = 99,453.41

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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.