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Finding the Fourth Proportional to 100,838.50, 139,157.13 and 56,125.54

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Solution

The fourth proportional to 100,838.50, 139,157.13 and 56,125.54 is: 77,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.50 : 139,157.13 = 56,125.54 : x
  2. Step 2: Convert to fraction form
    100,838.50/139,157.13 = 56,125.54/x
  3. Step 3: Cross multiply
    100,838.50x = 139,157.13 × 56,125.54
  4. Step 4: Simplify right side
    100,838.50x = 7,810,269,066.10
  5. Step 5: Solve for x
    x = 7,810,269,066.10/100,838.50
  6. Step 6: Final answer
    x = 77,453.25

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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.