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Finding the Fourth Proportional to 78,233.70, 107,962.29 and 42,423.60

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Solution

The fourth proportional to 78,233.70, 107,962.29 and 42,423.60 is: 58,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,233.70 : 107,962.29 = 42,423.60 : x
  2. Step 2: Convert to fraction form
    78,233.70/107,962.29 = 42,423.60/x
  3. Step 3: Cross multiply
    78,233.70x = 107,962.29 × 42,423.60
  4. Step 4: Simplify right side
    78,233.70x = 4,580,149,006.04
  5. Step 5: Solve for x
    x = 4,580,149,006.04/78,233.70
  6. Step 6: Final answer
    x = 58,544.45

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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.