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Finding the Fourth Proportional to 109,411.40, 164,117.10 and 89,971.40

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Solution

The fourth proportional to 109,411.40, 164,117.10 and 89,971.40 is: 134,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,411.40 : 164,117.10 = 89,971.40 : x
  2. Step 2: Convert to fraction form
    109,411.40/164,117.10 = 89,971.40/x
  3. Step 3: Cross multiply
    109,411.40x = 164,117.10 × 89,971.40
  4. Step 4: Simplify right side
    109,411.40x = 14,765,845,250.94
  5. Step 5: Solve for x
    x = 14,765,845,250.94/109,411.40
  6. Step 6: Final answer
    x = 134,957.10

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1.5x scale

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.