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Finding the Fourth Proportional to 78,642, 108,530.28 and 45,110.16

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Solution

The fourth proportional to 78,642, 108,530.28 and 45,110.16 is: 62,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,642 : 108,530.28 = 45,110.16 : x
  2. Step 2: Convert to fraction form
    78,642/108,530.28 = 45,110.16/x
  3. Step 3: Cross multiply
    78,642x = 108,530.28 × 45,110.16
  4. Step 4: Simplify right side
    78,642x = 4,895,818,295.64
  5. Step 5: Solve for x
    x = 4,895,818,295.64/78,642
  6. Step 6: Final answer
    x = 62,254.50

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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.