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Finding the Fourth Proportional to 109,471.71, 163,887.51 and 98,965.81

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Solution

The fourth proportional to 109,471.71, 163,887.51 and 98,965.81 is: 148,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,471.71 : 163,887.51 = 98,965.81 : x
  2. Step 2: Convert to fraction form
    109,471.71/163,887.51 = 98,965.81/x
  3. Step 3: Cross multiply
    109,471.71x = 163,887.51 × 98,965.81
  4. Step 4: Simplify right side
    109,471.71x = 16,219,259,356.60
  5. Step 5: Solve for x
    x = 16,219,259,356.60/109,471.71
  6. Step 6: Final answer
    x = 148,159.37

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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.