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Finding the Fourth Proportional to 161,423.84, 241,975.08 and 77,085.40

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Solution

The fourth proportional to 161,423.84, 241,975.08 and 77,085.40 is: 115,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,423.84 : 241,975.08 = 77,085.40 : x
  2. Step 2: Convert to fraction form
    161,423.84/241,975.08 = 77,085.40/x
  3. Step 3: Cross multiply
    161,423.84x = 241,975.08 × 77,085.40
  4. Step 4: Simplify right side
    161,423.84x = 18,652,745,831.83
  5. Step 5: Solve for x
    x = 18,652,745,831.83/161,423.84
  6. Step 6: Final answer
    x = 115,551.37

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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.