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Finding the Fourth Proportional to 142,369.71, 196,461.76 and 78,703.71

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Solution

The fourth proportional to 142,369.71, 196,461.76 and 78,703.71 is: 108,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,369.71 : 196,461.76 = 78,703.71 : x
  2. Step 2: Convert to fraction form
    142,369.71/196,461.76 = 78,703.71/x
  3. Step 3: Cross multiply
    142,369.71x = 196,461.76 × 78,703.71
  4. Step 4: Simplify right side
    142,369.71x = 15,462,269,373.11
  5. Step 5: Solve for x
    x = 15,462,269,373.11/142,369.71
  6. Step 6: Final answer
    x = 108,606.45

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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.