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Finding the Fourth Proportional to 74,487.40, 102,808.64 and 45,831.42

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Solution

The fourth proportional to 74,487.40, 102,808.64 and 45,831.42 is: 63,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,487.40 : 102,808.64 = 45,831.42 : x
  2. Step 2: Convert to fraction form
    74,487.40/102,808.64 = 45,831.42/x
  3. Step 3: Cross multiply
    74,487.40x = 102,808.64 × 45,831.42
  4. Step 4: Simplify right side
    74,487.40x = 4,711,866,074.05
  5. Step 5: Solve for x
    x = 4,711,866,074.05/74,487.40
  6. Step 6: Final answer
    x = 63,257.23

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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.