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Finding the Fourth Proportional to 209,562.68, 314,154.48 and 76,411.79

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Solution

The fourth proportional to 209,562.68, 314,154.48 and 76,411.79 is: 114,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,562.68 : 314,154.48 = 76,411.79 : x
  2. Step 2: Convert to fraction form
    209,562.68/314,154.48 = 76,411.79/x
  3. Step 3: Cross multiply
    209,562.68x = 314,154.48 × 76,411.79
  4. Step 4: Simplify right side
    209,562.68x = 24,005,106,153.32
  5. Step 5: Solve for x
    x = 24,005,106,153.32/209,562.68
  6. Step 6: Final answer
    x = 114,548.57

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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.