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Finding the Fourth Proportional to 224,747.86, 310,161.47 and 129,254.63

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Solution

The fourth proportional to 224,747.86, 310,161.47 and 129,254.63 is: 178,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747.86 : 310,161.47 = 129,254.63 : x
  2. Step 2: Convert to fraction form
    224,747.86/310,161.47 = 129,254.63/x
  3. Step 3: Cross multiply
    224,747.86x = 310,161.47 × 129,254.63
  4. Step 4: Simplify right side
    224,747.86x = 40,089,806,045.11
  5. Step 5: Solve for x
    x = 40,089,806,045.11/224,747.86
  6. Step 6: Final answer
    x = 178,376.81

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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.