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Finding the Fourth Proportional to 142,798.80, 214,009.20 and 76,095.30

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Solution

The fourth proportional to 142,798.80, 214,009.20 and 76,095.30 is: 114,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,798.80 : 214,009.20 = 76,095.30 : x
  2. Step 2: Convert to fraction form
    142,798.80/214,009.20 = 76,095.30/x
  3. Step 3: Cross multiply
    142,798.80x = 214,009.20 × 76,095.30
  4. Step 4: Simplify right side
    142,798.80x = 16,285,094,276.76
  5. Step 5: Solve for x
    x = 16,285,094,276.76/142,798.80
  6. Step 6: Final answer
    x = 114,042.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.