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Finding the Fourth Proportional to 98,929.44, 148,542.38 and 85,643.40

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Solution

The fourth proportional to 98,929.44, 148,542.38 and 85,643.40 is: 128,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,929.44 : 148,542.38 = 85,643.40 : x
  2. Step 2: Convert to fraction form
    98,929.44/148,542.38 = 85,643.40/x
  3. Step 3: Cross multiply
    98,929.44x = 148,542.38 × 85,643.40
  4. Step 4: Simplify right side
    98,929.44x = 12,721,674,467.29
  5. Step 5: Solve for x
    x = 12,721,674,467.29/98,929.44
  6. Step 6: Final answer
    x = 128,593.41

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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.