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Finding the Fourth Proportional to 70,146.60, 105,284.70 and 35,111.40

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Solution

The fourth proportional to 70,146.60, 105,284.70 and 35,111.40 is: 52,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,146.60 : 105,284.70 = 35,111.40 : x
  2. Step 2: Convert to fraction form
    70,146.60/105,284.70 = 35,111.40/x
  3. Step 3: Cross multiply
    70,146.60x = 105,284.70 × 35,111.40
  4. Step 4: Simplify right side
    70,146.60x = 3,696,693,215.58
  5. Step 5: Solve for x
    x = 3,696,693,215.58/70,146.60
  6. Step 6: Final answer
    x = 52,699.54

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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.