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Finding the Fourth Proportional to 98,825.40, 148,019.40 and 81,329.40

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Solution

The fourth proportional to 98,825.40, 148,019.40 and 81,329.40 is: 121,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,825.40 : 148,019.40 = 81,329.40 : x
  2. Step 2: Convert to fraction form
    98,825.40/148,019.40 = 81,329.40/x
  3. Step 3: Cross multiply
    98,825.40x = 148,019.40 × 81,329.40
  4. Step 4: Simplify right side
    98,825.40x = 12,038,328,990.36
  5. Step 5: Solve for x
    x = 12,038,328,990.36/98,825.40
  6. Step 6: Final answer
    x = 121,814.12

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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.