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Finding the Fourth Proportional to 120,004.65, 165,482.37 and 103,064.98

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Solution

The fourth proportional to 120,004.65, 165,482.37 and 103,064.98 is: 142,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,004.65 : 165,482.37 = 103,064.98 : x
  2. Step 2: Convert to fraction form
    120,004.65/165,482.37 = 103,064.98/x
  3. Step 3: Cross multiply
    120,004.65x = 165,482.37 × 103,064.98
  4. Step 4: Simplify right side
    120,004.65x = 17,055,437,154.40
  5. Step 5: Solve for x
    x = 17,055,437,154.40/120,004.65
  6. Step 6: Final answer
    x = 142,123.14

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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.