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Finding the Fourth Proportional to 105,646.84, 158,506.70 and 66,156.92

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Solution

The fourth proportional to 105,646.84, 158,506.70 and 66,156.92 is: 99,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,646.84 : 158,506.70 = 66,156.92 : x
  2. Step 2: Convert to fraction form
    105,646.84/158,506.70 = 66,156.92/x
  3. Step 3: Cross multiply
    105,646.84x = 158,506.70 × 66,156.92
  4. Step 4: Simplify right side
    105,646.84x = 10,486,315,071.36
  5. Step 5: Solve for x
    x = 10,486,315,071.36/105,646.84
  6. Step 6: Final answer
    x = 99,258.20

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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.