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Finding the Fourth Proportional to 176,205.76, 243,130.08 and 100,738.24

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Solution

The fourth proportional to 176,205.76, 243,130.08 and 100,738.24 is: 138,999.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,205.76 : 243,130.08 = 100,738.24 : x
  2. Step 2: Convert to fraction form
    176,205.76/243,130.08 = 100,738.24/x
  3. Step 3: Cross multiply
    176,205.76x = 243,130.08 × 100,738.24
  4. Step 4: Simplify right side
    176,205.76x = 24,492,496,350.26
  5. Step 5: Solve for x
    x = 24,492,496,350.26/176,205.76
  6. Step 6: Final answer
    x = 138,999.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.