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Finding the Fourth Proportional to 70,476.16, 105,714.56 and 17,885.60

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Solution

The fourth proportional to 70,476.16, 105,714.56 and 17,885.60 is: 26,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,476.16 : 105,714.56 = 17,885.60 : x
  2. Step 2: Convert to fraction form
    70,476.16/105,714.56 = 17,885.60/x
  3. Step 3: Cross multiply
    70,476.16x = 105,714.56 × 17,885.60
  4. Step 4: Simplify right side
    70,476.16x = 1,890,768,334.34
  5. Step 5: Solve for x
    x = 1,890,768,334.34/70,476.16
  6. Step 6: Final answer
    x = 26,828.48

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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.