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Finding the Fourth Proportional to 70,820.38, 97,710.06 and 40,188.40

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Solution

The fourth proportional to 70,820.38, 97,710.06 and 40,188.40 is: 55,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.38 : 97,710.06 = 40,188.40 : x
  2. Step 2: Convert to fraction form
    70,820.38/97,710.06 = 40,188.40/x
  3. Step 3: Cross multiply
    70,820.38x = 97,710.06 × 40,188.40
  4. Step 4: Simplify right side
    70,820.38x = 3,926,810,975.30
  5. Step 5: Solve for x
    x = 3,926,810,975.30/70,820.38
  6. Step 6: Final answer
    x = 55,447.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.