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Finding the Fourth Proportional to 142,887.84, 197,184.88 and 79,224

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Solution

The fourth proportional to 142,887.84, 197,184.88 and 79,224 is: 109,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,887.84 : 197,184.88 = 79,224 : x
  2. Step 2: Convert to fraction form
    142,887.84/197,184.88 = 79,224/x
  3. Step 3: Cross multiply
    142,887.84x = 197,184.88 × 79,224
  4. Step 4: Simplify right side
    142,887.84x = 15,621,774,933.12
  5. Step 5: Solve for x
    x = 15,621,774,933.12/142,887.84
  6. Step 6: Final answer
    x = 109,328.93

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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.