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Finding the Fourth Proportional to 106,496.64, 146,975.04 and 61,776

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Solution

The fourth proportional to 106,496.64, 146,975.04 and 61,776 is: 85,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,496.64 : 146,975.04 = 61,776 : x
  2. Step 2: Convert to fraction form
    106,496.64/146,975.04 = 61,776/x
  3. Step 3: Cross multiply
    106,496.64x = 146,975.04 × 61,776
  4. Step 4: Simplify right side
    106,496.64x = 9,079,530,071.04
  5. Step 5: Solve for x
    x = 9,079,530,071.04/106,496.64
  6. Step 6: Final answer
    x = 85,256.49

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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.