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Finding the Fourth Proportional to 121,970.70, 182,664.45 and 98,642.70

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Solution

The fourth proportional to 121,970.70, 182,664.45 and 98,642.70 is: 147,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,970.70 : 182,664.45 = 98,642.70 : x
  2. Step 2: Convert to fraction form
    121,970.70/182,664.45 = 98,642.70/x
  3. Step 3: Cross multiply
    121,970.70x = 182,664.45 × 98,642.70
  4. Step 4: Simplify right side
    121,970.70x = 18,018,514,542.02
  5. Step 5: Solve for x
    x = 18,018,514,542.02/121,970.70
  6. Step 6: Final answer
    x = 147,728.22

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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.