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Finding the Fourth Proportional to 143,424.84, 197,931.03 and 78,896.76

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Solution

The fourth proportional to 143,424.84, 197,931.03 and 78,896.76 is: 108,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,424.84 : 197,931.03 = 78,896.76 : x
  2. Step 2: Convert to fraction form
    143,424.84/197,931.03 = 78,896.76/x
  3. Step 3: Cross multiply
    143,424.84x = 197,931.03 × 78,896.76
  4. Step 4: Simplify right side
    143,424.84x = 15,616,116,970.46
  5. Step 5: Solve for x
    x = 15,616,116,970.46/143,424.84
  6. Step 6: Final answer
    x = 108,880.14

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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.