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Finding the Fourth Proportional to 119,459.98, 164,858.08 and 65,012.65

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Solution

The fourth proportional to 119,459.98, 164,858.08 and 65,012.65 is: 89,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,459.98 : 164,858.08 = 65,012.65 : x
  2. Step 2: Convert to fraction form
    119,459.98/164,858.08 = 65,012.65/x
  3. Step 3: Cross multiply
    119,459.98x = 164,858.08 × 65,012.65
  4. Step 4: Simplify right side
    119,459.98x = 10,717,859,830.42
  5. Step 5: Solve for x
    x = 10,717,859,830.42/119,459.98
  6. Step 6: Final answer
    x = 89,719.25

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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.