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Finding the Fourth Proportional to 145,409.71, 218,114.58 and 45,569.89

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Solution

The fourth proportional to 145,409.71, 218,114.58 and 45,569.89 is: 68,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,409.71 : 218,114.58 = 45,569.89 : x
  2. Step 2: Convert to fraction form
    145,409.71/218,114.58 = 45,569.89/x
  3. Step 3: Cross multiply
    145,409.71x = 218,114.58 × 45,569.89
  4. Step 4: Simplify right side
    145,409.71x = 9,939,457,418.00
  5. Step 5: Solve for x
    x = 9,939,457,418.00/145,409.71
  6. Step 6: Final answer
    x = 68,354.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.