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Finding the Fourth Proportional to 78,014.50, 107,660.28 and 42,204.68

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Solution

The fourth proportional to 78,014.50, 107,660.28 and 42,204.68 is: 58,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.50 : 107,660.28 = 42,204.68 : x
  2. Step 2: Convert to fraction form
    78,014.50/107,660.28 = 42,204.68/x
  3. Step 3: Cross multiply
    78,014.50x = 107,660.28 × 42,204.68
  4. Step 4: Simplify right side
    78,014.50x = 4,543,767,666.11
  5. Step 5: Solve for x
    x = 4,543,767,666.11/78,014.50
  6. Step 6: Final answer
    x = 58,242.60

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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.