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Finding the Fourth Proportional to 70,188.32, 105,163.68 and 42,428

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Solution

The fourth proportional to 70,188.32, 105,163.68 and 42,428 is: 63,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,188.32 : 105,163.68 = 42,428 : x
  2. Step 2: Convert to fraction form
    70,188.32/105,163.68 = 42,428/x
  3. Step 3: Cross multiply
    70,188.32x = 105,163.68 × 42,428
  4. Step 4: Simplify right side
    70,188.32x = 4,461,884,615.04
  5. Step 5: Solve for x
    x = 4,461,884,615.04/70,188.32
  6. Step 6: Final answer
    x = 63,570.19

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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.