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Finding the Fourth Proportional to 98,009.40, 146,819.70 and 56,407.80

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Solution

The fourth proportional to 98,009.40, 146,819.70 and 56,407.80 is: 84,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,009.40 : 146,819.70 = 56,407.80 : x
  2. Step 2: Convert to fraction form
    98,009.40/146,819.70 = 56,407.80/x
  3. Step 3: Cross multiply
    98,009.40x = 146,819.70 × 56,407.80
  4. Step 4: Simplify right side
    98,009.40x = 8,281,776,273.66
  5. Step 5: Solve for x
    x = 8,281,776,273.66/98,009.40
  6. Step 6: Final answer
    x = 84,499.82

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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.