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Finding the Fourth Proportional to 74,459.65, 102,755 and 40,468.23

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Solution

The fourth proportional to 74,459.65, 102,755 and 40,468.23 is: 55,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,459.65 : 102,755 = 40,468.23 : x
  2. Step 2: Convert to fraction form
    74,459.65/102,755 = 40,468.23/x
  3. Step 3: Cross multiply
    74,459.65x = 102,755 × 40,468.23
  4. Step 4: Simplify right side
    74,459.65x = 4,158,312,973.65
  5. Step 5: Solve for x
    x = 4,158,312,973.65/74,459.65
  6. Step 6: Final answer
    x = 55,846.53

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1.5x scale

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.