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Finding the Fourth Proportional to 70,505.40, 105,688.02 and 35,337.72

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Solution

The fourth proportional to 70,505.40, 105,688.02 and 35,337.72 is: 52,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.40 : 105,688.02 = 35,337.72 : x
  2. Step 2: Convert to fraction form
    70,505.40/105,688.02 = 35,337.72/x
  3. Step 3: Cross multiply
    70,505.40x = 105,688.02 × 35,337.72
  4. Step 4: Simplify right side
    70,505.40x = 3,734,773,658.11
  5. Step 5: Solve for x
    x = 3,734,773,658.11/70,505.40
  6. Step 6: Final answer
    x = 52,971.46

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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.