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Finding the Fourth Proportional to 70,196, 96,870.30 and 38,365.12

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Solution

The fourth proportional to 70,196, 96,870.30 and 38,365.12 is: 52,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,196 : 96,870.30 = 38,365.12 : x
  2. Step 2: Convert to fraction form
    70,196/96,870.30 = 38,365.12/x
  3. Step 3: Cross multiply
    70,196x = 96,870.30 × 38,365.12
  4. Step 4: Simplify right side
    70,196x = 3,716,440,683.94
  5. Step 5: Solve for x
    x = 3,716,440,683.94/70,196
  6. Step 6: Final answer
    x = 52,943.77

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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.