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Finding the Fourth Proportional to 98,857.40, 148,631.70 and 96,783.80

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Solution

The fourth proportional to 98,857.40, 148,631.70 and 96,783.80 is: 145,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,857.40 : 148,631.70 = 96,783.80 : x
  2. Step 2: Convert to fraction form
    98,857.40/148,631.70 = 96,783.80/x
  3. Step 3: Cross multiply
    98,857.40x = 148,631.70 × 96,783.80
  4. Step 4: Simplify right side
    98,857.40x = 14,385,140,726.46
  5. Step 5: Solve for x
    x = 14,385,140,726.46/98,857.40
  6. Step 6: Final answer
    x = 145,514.05

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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.