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Finding the Fourth Proportional to 142,548.54, 196,715.84 and 78,889.84

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Solution

The fourth proportional to 142,548.54, 196,715.84 and 78,889.84 is: 108,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,548.54 : 196,715.84 = 78,889.84 : x
  2. Step 2: Convert to fraction form
    142,548.54/196,715.84 = 78,889.84/x
  3. Step 3: Cross multiply
    142,548.54x = 196,715.84 × 78,889.84
  4. Step 4: Simplify right side
    142,548.54x = 15,518,881,143.07
  5. Step 5: Solve for x
    x = 15,518,881,143.07/142,548.54
  6. Step 6: Final answer
    x = 108,867.35

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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.