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Finding the Fourth Proportional to 142,953.68, 196,696.68 and 117,365.78

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Solution

The fourth proportional to 142,953.68, 196,696.68 and 117,365.78 is: 161,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,953.68 : 196,696.68 = 117,365.78 : x
  2. Step 2: Convert to fraction form
    142,953.68/196,696.68 = 117,365.78/x
  3. Step 3: Cross multiply
    142,953.68x = 196,696.68 × 117,365.78
  4. Step 4: Simplify right side
    142,953.68x = 23,085,459,271.61
  5. Step 5: Solve for x
    x = 23,085,459,271.61/142,953.68
  6. Step 6: Final answer
    x = 161,489.09

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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.