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Finding the Fourth Proportional to 142,095.30, 196,077.54 and 78,429

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Solution

The fourth proportional to 142,095.30, 196,077.54 and 78,429 is: 108,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,095.30 : 196,077.54 = 78,429 : x
  2. Step 2: Convert to fraction form
    142,095.30/196,077.54 = 78,429/x
  3. Step 3: Cross multiply
    142,095.30x = 196,077.54 × 78,429
  4. Step 4: Simplify right side
    142,095.30x = 15,378,165,384.66
  5. Step 5: Solve for x
    x = 15,378,165,384.66/142,095.30
  6. Step 6: Final answer
    x = 108,224.31

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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.