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Finding the Fourth Proportional to 78,961.68, 108,962.52 and 43,152

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Solution

The fourth proportional to 78,961.68, 108,962.52 and 43,152 is: 59,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,961.68 : 108,962.52 = 43,152 : x
  2. Step 2: Convert to fraction form
    78,961.68/108,962.52 = 43,152/x
  3. Step 3: Cross multiply
    78,961.68x = 108,962.52 × 43,152
  4. Step 4: Simplify right side
    78,961.68x = 4,701,950,663.04
  5. Step 5: Solve for x
    x = 4,701,950,663.04/78,961.68
  6. Step 6: Final answer
    x = 59,547.25

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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.