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Finding the Fourth Proportional to 142,078.70, 196,094.02 and 84,721.74

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Solution

The fourth proportional to 142,078.70, 196,094.02 and 84,721.74 is: 116,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,078.70 : 196,094.02 = 84,721.74 : x
  2. Step 2: Convert to fraction form
    142,078.70/196,094.02 = 84,721.74/x
  3. Step 3: Cross multiply
    142,078.70x = 196,094.02 × 84,721.74
  4. Step 4: Simplify right side
    142,078.70x = 16,613,426,577.99
  5. Step 5: Solve for x
    x = 16,613,426,577.99/142,078.70
  6. Step 6: Final answer
    x = 116,931.16

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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.