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Finding the Fourth Proportional to 119,459.76, 164,785.91 and 74,670

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Solution

The fourth proportional to 119,459.76, 164,785.91 and 74,670 is: 103,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,459.76 : 164,785.91 = 74,670 : x
  2. Step 2: Convert to fraction form
    119,459.76/164,785.91 = 74,670/x
  3. Step 3: Cross multiply
    119,459.76x = 164,785.91 × 74,670
  4. Step 4: Simplify right side
    119,459.76x = 12,304,563,526.35
  5. Step 5: Solve for x
    x = 12,304,563,526.35/119,459.76
  6. Step 6: Final answer
    x = 103,001.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.